Malouda has stated his concern at the lack of regular football that may compromise his spot in France's Euro 2012 squad.
The 31-year-old has been in the fringes of the Chelsea squad this season, starting on four occassions and making substitute appearances in nine other matches, and has raised the possiblity of quitting Stamford Bridge because of it.
In an interview with French television network Canal+, Malouda said: "My playing time is not enough to satisfy me. It is too little for the ambitions I have. I cannot be happy with that.
"If it is necessary, I will leave."
However, it's clear that he will not be leaving the club for free-spending Russian side Anzhi Makhachkala, who have been credited with a move for the Frenchman.
Malouda said: "I couldn't even manage to pronounce the name of this team. I don't know from where these rumours come, when they don't have any base in reality."