The 32-year-old is expected to head for the Emirates exit door this month, with Fenerbahce and DC United the two clubs believed to be in talks with his entourage.
Responding to fans during a Twitter Q&A session, 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 my country. There are two countries I want to play football in before I retire: Turkey and the USA. If I went to Turkey, I could only go to Fenerbahce."
Ozil has not made an appearance for Arsenal since March 2020 after being left out of Mikel Arteta's Premier League and Europa League squads for the 2020-21 campaign, and he now has six months left to run on his Gunners deal.