The ambitious Turkish side are reported to have registered an interest in the Togo international who is currently a free agent after being released by Tottenham.
The Scorpions would however, have to wait until January to complete the signing of the experienced striker as Tottenham registered the striker for the 2015-16 season before releasing him.
Antalyaspor were promoted last season but targeted a number of experienced players over the summer and completed the transfer of former Barcelona striker Samuel Eto’o who has hit the ground running at his new team.
The Cameroon international is the joint top scorer in the league with five goals for the Antalya based club.
Adebayor is also being targeted by sides in the Middle East according to the report.
Antalyaspor are currently in 6th place on nine points after five games and take on Sivasspor next in the Turkish Super League at home.