Ozil faces being pushed out of Fenerbahce at the end of this season after falling out with coaching staff. He has since been suspended from first team training.
A move, however, to Los Angeles FC could on for the German.
Former Turkey international Ridvan Dilmen told TRT: "I meet Mesut every other week. I know of an interest from Los Angeles.
"I have already seen a written message about this."
Ozil has a deal with Fener to 2024.