The Russian international has been plagued by various injury problems, which has led to him starting just 32 matches in two years.
It is understood the left-sided player has also struggled to settle in London and Chelsea are ready to cash in on the 27-year-old. He is under pressure to leave Stamford Bridge anyway for the sake of his international career because his place in the squad is under threat due to a lack of first-team football.
Spartak Moscow have shown an interest, although he may not be too keen to go there having played for their rivals CSKA but a return to Russia is likely.
Portugal right-back Bosingwa, who arrived from Porto for £16.2m in 2008, is also no longer wanted by the club.
The 28-year-old has struggled since returning from a serious knee injury last October which had kept him on the sidelines for a year.