Antony has thanked Ajax for making him a more complete footballer but suggested his future may lie away from the Eredivisie giants amid links with Manchester United.
Brazil international Antony is said to be the next name on United's list of targets after the Red Devils confirmed on Friday a deal is in place to sign Casemiro from Real Madrid.
The 22-year-old has impressed in his previous two full seasons with Ajax, but he is reported to have sat out training this week in order to push through a move to Old Trafford.
Speaking in an interview with Dutch outlet De Telegraaf published on Saturday, Antony did little to play down talk a transfer ahead of the September 1 deadline.
Asked if he can guarantee he will remain an Ajax player, the Sao Paulo academy product said: "No, to be perfectly honest, I can't.
"What I can say is that I want to come to the right decision with my family, business partners and Ajax, which is good for everyone.
"In the end, God determines my future. I am very happy at Ajax, I have a contract until the summer of 2025 and I will give everything for this beautiful club for every second.
"I wear the shirt with pride and from day one I feel at home. If we all decide I will stay here, then I know that this is the best thing for me and the club. It’s not like I have to leave.
"Now I am focusing on playing football and have put all other matters in the hands of my agents and my brother. They will advise me on what is best.
"Thanks to Ajax I have become a more complete footballer, more effective especially and more of a team player. Every day I want to become a better footballer."
Antony is reported to be valued in excess of €80million (£67.9m) by Ajax, whom he scored 12 goals for and assisted a further 10 from 33 appearances last season.
He has started the 2022-23 campaign in good form with two goals in his first three outings under new head coach Alfred Schreuder.
The winger spent his first two seasons with Ajax playing under Erik ten Hag, who has endured a terrible start to his United tenure since swapping clubs earlier this year.
The Dutchman is the first manager to lose his first two games in charge of United in 101 years, having gone down 2-1 to Brighton and Hove Albion and 4-0 to Brentford so far.
But Antony, who is in line to be part of Brazil's World Cup squad later this year, has backed his former head coach to turn things around at Old Trafford.
"Erik has been super important to me. I am grateful to him and wish him all the best," he said. "I will always cheer for Erik after working so closely together.
"I have not been able to celebrate or cheer for him as he got no points yet. I couldn't until now anyway and that makes me sad.
"But knowing Erik, I am convinced that he will turn the tide soon. Manchester United will improve at his hand. At his previous clubs he has proven that his method works."
Alcaraz's pursuit for third straight Madrid Open crown continues
Carlos Alcaraz boosted his hopes of a third straight Madrid Open title as he comfortably beat Thiago Seyboth Wild to reach the fourth round on Sunday.
Back in his home country of Spain, Alcaraz eased to a 6-3 6-3 triumph to set up a fourth-round clash with Jan-Lennard Struff, whom he beat in last year's final.
The first six games of the opening set went to serve, but Alcaraz found a crucial break in the seventh and ninth games of the set to put him in pole position for victory, a lead he would not relinquish as he overcame being broken in the seventh game of the second set to seal his safe progression.
Holger Rune was a surprise casualty as the world number 12 was defeated 6-4 4-6 6-3 by Tallon Griekspoor, though world number eight Andrey Rublev eased through with a straight-sets win over Alejandro Davidovich Fokina.
Data Debrief
With his triumph over Seyboth Wild at the Madrid Open, Alcaraz has now won 93.3 per cent of his games at the tournament. That is the highest win percentage of any player with at least 10 games played in a single ATP-1000 event since the format was introduced in 1990.
Against Seyboth Wild, Alcaraz won 27 of his 31 first-serve points, also recording 19 winners to his opponent's 10 as he dominated the contest on his way to victory.
Bristol City Women 0-4 Man City Women: Hosts relegated as Fowler double inspires WSL leaders
Mary Fowler scored twice to set WSL leaders Manchester City on their way to a 4-0 rout of Bristol City, who suffered relegation as a result, on Sunday.
With Arsenal having drawn with Everton earlier in the day, Man City knew a victory would be enough to take the title race down to two teams.
That victory duly arrived in emphatic fashion, with all four of Man City's goals arriving in the second half.
Fowler's fantastic strike opened the scoring in the 62nd minute, with the Australia international doubling her tally soon after, paving the way for an Amy Rodgers own goal and Alex Greenwood's late header to seal a huge victory.
Arsenal are now out of the title race, with Chelsea - who have two games in hand on Gareth Taylor's team - the only side capable of catching Man City.
The Robins, meanwhile, will be playing in the second tier again next term.
Data Debrief: Bristol heading down with a whimper
Bristol City have failed to score in their last five games in the WSL, a run of 544 minutes without a goal.
They mustered just 0.09 expected goals (xG) to Man City's 3.4, with the visitors having now kept a clean sheet in nine of their 20 league games this season.
De Rossi demands more from 'tired' Roma ahead of crunch run
Daniele De Rossi acknowledged his Roma team may be tired, but he insisted they must not allow themselves to be embarrassed.
Roma fought back to draw 2-2 with last season's Serie A champions Napoli in a pulsating fixture on Sunday.
Tammy Abraham's late header secured a point for De Rossi's team, who took the lead through Paulo Dybala's penalty before going behind to goals from Matias Olivera and Victor Osimhen.
With Serie A set to have five teams in the Champions League next season, Roma occupy fifth spot with four matches remaining, but sixth-placed Atalanta are just two points behind with a game in hand.
There is also the small matter of a Europa League semi-final against Bundesliga champions Bayer Leverkusen on the cards over the coming weeks, and De Rossi set the stall out.
"We drew, it is not a result to throw away, but it is not the result or the performance that we wanted," Roma coach Daniele De Rossi told Sky Sports Italia.
"At times you can steal the ball off Napoli, but we then gave it back again too many times. Napoli had a lot of chances in the first half, we did better in the second, but we have to do better.
"Look, we are tired, but we cannot start thinking that we’re tired and that means we can be embarrassed in the final few weeks of the season."
Roma host Leverkusen on Thursday before taking on Juventus on May 5, with a crunch clash against Atalanta – who are also into the Europa League semi-finals – set to follow after the away leg against Xabi Alonso's team.
Key to a successful end to the campaign for Roma will be keeping Dybala fit. The Argentine has been involved in the joint-most goals (12) in Serie A since the turn of the year, scoring nine and setting up three, level with Juve's Dusan Vlahovic.
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