Skysports.com reports how the 31-year-old French international has started just four Barclays Premier League games for the Blues this season, with his last start coming in the Carling Cup defeat to Liverpool.
Andre Villas-Boas has made clear his intentions to freshen up an ageing Stamford Bridge squad, and Malouda looks to be nothing more than a fringe player in the new Chelsea regime.
After appearing again as a substitute for the Blues in their 1-1 Boxing Day draw with Fulham, speculation continues to circulate that Malouda could leave west London in January, with ambitious Russian club Anzhi credited with an interest in his signature.
However, Malouda has laughed off suggestions linking him with a move there, but admitted that he may be forced to leave if his current position at Chelsea doesn't change.
"I couldn't even manage to pronounce the name of this team," Malouda told Canal+. "I don't know from where these rumours come, when they don't have any base in reality.
"Me, I am someone who prefers transparency. I don't have anything to hide, so I'm telling you the truth.
"My playing time cannot satisfy me. It's too small compared to the ambitions I have and so, if necessary, I will go."