Lescott's contract expires at the end of the season and the England defender appears unlikely to be offered a new deal by manager Manuel Pellegrini, the 31-year-old having been limited to just 10 Premier League starts for City during the 2013-14 campaign.
British counterparts Les Ferdinand, Rob McDonald and Alan Walsh all spent time playing for Besiktas in the late 1980s and early 1990s, and Lescott could become the latest Englishman to sign for the Turkish giants.
"Lescott is still on our transfer wish list," Ozen said, quoted in The Sun.
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