Ayew has been part of Swansea's training camp in Germany and Austria, but he has now travelled east to enter discussions.
He played no part in their friendly with Eibar as he looks to leave south Wales.
Ayew is one of the highest earners at the 'Swans', but following their relegation from the Premier League he is looking for an escape route.
He re-signed for them from West Ham in January, having initially joined them from Marseille a year earlier.
However, he struggled in his second spell at the club, failing to find the net and will hope that he fares better in the Turkish league.