France international Malouda has become an increasingly important member of the Chelsea team after initially struggling upon his arrival from Lyon in 2007.
He signed a new contract in the summer to tie himself to the Blues until 2013 and he would have no qualms spending the rest of his playing days in West London.
"To finish at Chelsea? Why not?" the 29-year-old, who is approaching 100 appearances for the club, told RMC.
"I think I will be capable of playing beyond 2013. I am flourishing at Chelsea. What I experience here gives me hunger to continue.
"As long as I have that hunger I will carry on. I still have beautiful years ahead of me. Chelsea is in any case the ideal place to have a beautiful career."
ConfidenceThe midfielder is also happy to have improved his standing at the club and has praised Ancelotti's impact since becoming manager in the summer.
He added: "Thanks to the performances I had over the last two seasons I have become an important player.
"I will soon play my 100th match for Chelsea. Carlo Ancelotti insisted I renew my contract as did Peter Kenyon.
"The directors have confidence in me and have also renewed the contracts of other important players in the team.
"Chelsea have chosen the road of stability. That perhaps explains our good start to the season.
"Everything is going extremely well. Since I arrived at Chelsea I had five managers. But despite the changes the team has always performed at a high level.
"Carlo Ancelotti is trying to impose his style and put in place with us the things that made him successful at AC Milan."