The German midfielder looks set to leave Arsenal having been frozen out by manager Mikel Arteta and revealed that he is keen on a move to either the Turkish side or to Major League Soccer.
During a Q & A session on Twitter, Ozil said: "There are two countries I want to play football in before I retire: Turkey and USA.
"If I went to Turkey, I could only go to Fenerbahce."
Fener have been closely linked to a move for Ozil - who admits that he has close relationship with the Istanbul club as he supported them as a child.
Ozil said: "I grew up as a Fenerbahce fan as a kid in Germany. Every German-Turkish person supports a Turkish team when they grow up in Germany. And mine was Fenerbahce.
"Fenerbahce is like Real Madrid in Spain. The biggest club in the country."
Ozil has not played for Arsenal since March last year but admits that he does not regret his decision to move to the Emirates Stadium from Real Madrid in 2013.
Asked if he had enjoyed his time at Arsenal, he said: "Of course. There have been many ups and downs so far, but all in all I’ll never regret my decision to join Arsenal. And to be honest, the last couple of games before the corona break in February & March 2020 made [it] really a lot [of] fun.
"I’ve enjoyed that time a lot and I’ve thought we’re really on a very positive way. But after the break things unfortunately changed..."