Manchester United winger Antony will delay his return to training until further notice in order to "address allegations" of assault.
The 23-year-old was due back to training on Monday after being omitted from Brazil's squad for their World Cup qualifiers against Bolivia and Peru.
A statement on the club's official website said, "Manchester United acknowledges the allegations made against Antony.
"Players who have not participated in international matches are due back in training on Monday. However, it has been agreed with Antony that he will delay his return until further notice in order to address the allegations.
"As a club we condemn acts of violence and abuse. We recognise the importance of safeguarding all those involved in this situation, and acknowledge the impact these allegations have on survivors of abuse."
In a statement issued by the player, Antony said, "I have agreed with Manchester United to take a period of absence while I address the allegations made against me.
"This was a mutual decision to avoid distraction to my teammates and unnecessary controversy for the club.
"I want to reiterate my innocence of the things I have been accused of, and I will fully co-operate with the police to help them reach the truth. I look forward to returning to play as soon as possible."