The 31-year-old has beeen a hit since moving to Stamford Bridge and scored his 50th goal for the club against Spartak Moscow this week.
“It is the first time I have scored that many for any club but it is the first time I have spent more than two-and-a-half years at a club as well,” said Anelka.
“It shows how happy I am at Chelsea. When I first signed here I knew I had arrived at a big club and I wanted to stay as long as possible.
“I don’t know what will happen in the future. After this season I have one more year on my current deal and I will see what will happen because you never know.
“But I am very happy here and I would be glad to sign for more years.
“I am just very satisfied to achieve two landmarks with Chelsea in goals and how long I have spent here; it has just been special to score goals for Chelsea.”