Manchester United forward Antony has been withdrawn from Brazil's national team squad.
The winger is the subject of a police inquiry in England due to allegations of violence against his ex-girlfriend.
In an interview with Brazilian website UOL, Gabriela Cavallin made a number of allegations against Antony.
In a statement given to The Telegraph on Monday evening, GMP said: Greater Manchester Police is aware of the allegations made and enquiries remain ongoing to establish the circumstances surrounding this report. We will not be commenting any further at this time."
Antony wrote the following on social media: "From the beginning I have handled this issue seriously and with respect, providing the due clarifications to the police authority. The police inquest is under cover of justice, and therefore I cannot make its content public.
"However, I can say with confidence that the accusations are false and that the evidence already produced and more to be produced show that I am innocent of the accusations made. My relationship with Ms. Gabriela was tumultuous, with verbal offences from both sides, but I never practised any physical aggression.
"Every time, whether in testimony or in interview, she presents a different version of the accusations.
"Thus, I come to deny the accusations made and inform that I remain at the full disposal of the Brazilian authorities to clarify what is needed. I trust the ongoing police investigations will reveal the truth about my innocence."
