The 27-year-old arrived at City from Swansea in a £25m move in January 2015 but has endured a mixed first 18 months in Manchester.
Bony has started just 15 Premier League games for his new club, scoring six goals, and reports have suggested that Swansea are hoping to resign him this summer.
It has been suggested that the Ivorian may not fit in with new manager Pep Guardiola’s plans and he could be one of the first out of the door in the shake-up.
And now, according to Turkish newspaper Takvim, Besiktas will offer him an escape route when the window opens.
Besiktas may be about to lose their star striker Mario Gomez this summer and they think Bony would be the perfect replacement, and could approach City about a potential loan move.