The forward, who was recently cleared of domestic abuse allegations in Brazil, has been facing challenges in finding success at United.
Now he may have a chance to link up with former United boss Jose Mourinho in Turkey.
According to FotoMac in Turkey, Fener are set to put in a bid to take Antony on loan.
The idea would be to get the transfer over the line before Wednesday night, as that is the Turkish transfer deadline.
Mourinho has made some big signings at Fener, adding the likes of Youssef En-Nesyri, Caglar Soyuncu and Allan Saint-Maximin to his squad.