In an interview on his website which will be seen as a come-on to Chelsea manager Avram Grant and his rivals at both high-flying Manchester clubs, Anelka said he is desperate to play for a big team again.
Bolton will listen to offers for 28-year-old Anelka, but their hopes of getting a £15million fee would appear optimistic.
Asked if Sunday's 4-0 defeat by Liverpool had strengthened his resolve to move, the Frenchman said: "It is true that after this kind of match I think [that] more than ever, but it's life.
"One day my work will be rewarded and I can move again to a great club.
"It's very hard to live with this kind of defeat. To recover, I just went home and sat in front of the TV so I could think about nothing and empty my head."
Anelka's performance at Anfield did nothing for his reputation - he missed an open goal - but his ability has interested Chelsea and City. He said: "They are clubs who are at the top of the league. City's stadium is magnificent, the team is very strong and extremely motivated to qualify in the Champions League. Chelsea have similar qualities and more."