He said in The Sun: "I am happy with everyone here and want to be a Chelsea player.
"I want to stay until the end of my contract. I love the fans."
Furthermore, the 30-year-old striker claimed that he saw his long-term future at the club.
"My family love it here and we want to stay. There have been no talks about extending my deal but there is time for that.
"I would stay if they offered me a new deal. I know that first I need to show I am still the Didier Drogba this club knows."