Malouda has regularly seen himself left on the bench by Villas-Boas and the former Lyon winger had been linked with a move away from Stamford Bridge.
The 31-year-old said: "Am I ready to fight for my place? Of course. That's my character and the manager knows that.
"I have helped the team win trophies and that is what I'm looking for. I will never be happy to play a few minutes sometimes."
Paris Saint-Germain are reported to be interested in reuniting Malouda with former Chelsea manager Carlo Ancelotti, after the Italian was appointed the new manager of the French giants.