The Portuguese winger has been informed that he is not in the Turkish club's plans amid a dispute over the player's wages
The cash-strapped Turkish side have informed the winger that they have no intention of renewing his contract after the Portuguese international seemingly turned his back on an agreement to take a €570,000 wage cut.
"The coach and the board don't want me. I love Besiktas fans," Quaresma told Dogan News Agency.
The skilful winger joined the club for a reported €7.3 million deal from Inter in 2010, but has been involved in a series of bust-ups with fellow players and coaches during his spell.
Fikret Orman, Besiktas' club president explained the decision: "No player can call a meeting with the board or president. Besiktas is above everybody.
"Additionally, a meeting with Quaresma cannot even be considered.
"We'll discuss these topics at our meetings. At the moment a return is not possible for him."
Besiktas currently sit 11th in the Turkish Super Lig, having lost their last three matches.