Ghana midfielder Andre Ayew could reunite with former Swansea boss Carlos Carvalhal at Turkish side Fernabache.
Carvalhal has been tipped to takeover from Dutchman Phillip Cocu who is struggling to get results despite being in charge for six weeks.
Fenerbahce have suffered a miserable start to the season having lost three consecutive games, and were recently dumped out of the UEFA Champions League by Benfica.
According to Sky Sports, former Swans boss Carvalhal is being considered as a possible replacement.
Carvalhal has been out of work since leaving Swansea City after failing to keep the South Wales up in the Premier League last season.
The 52-year-old is not new to Turkish football after working with Fenerbahce's bitter rivals Besiktas back in 2011.