Skybet slashed the Black Eagles odds to sign Bony from 19 to 4 following reports of talks between Besiktas president Fikret Orman and City.
West Ham have also had their odds slashed after targeting the striker for a loan move following injury to record summer signing Andrew Ayew.
A source close to the club told Turkish-Football.com that Orman is currently in England holding talks with City over the loan transfer of Remy and Samir Nasri.
Bony has been instructed to leave the club and has not been included in City’s last three match day squads.
The Black Eagles are also in talks with Chelsea over loaning out-of-favour striker Loic Remy.
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