According to Fabrizio Romano, Antony has rejected offers to move to Turkey or the Middle East.
While United may have wanted to move him along on loan, Antony wants to fight for his place.
The winger, who has three years left on his contract, believes he can show his best form again.
United have Alejandro Garnacho, Amad Diallo, and Marcus Rashford as winger options ahead of Antony.