The former Marseille striker signed a new contract with Chelsea earlier this season.
Drogba said: “I regard the new contract with Chelsea as reward for hard work – but I also want to repay the club for keeping the faith.
“We want to win all four trophies this season and we believe we have the ability to do it.
“At the moment, we are taking things as they come and that is working for us. But we’ve dominated English football for the last few years and now we want to set new records.
“At 28, I am definitely thinking of ending my career at Chelsea – if that’s what the fans want to hear. But I will play the game until I can no longer push myself.
“At one time, I did think about leaving the club because of many reasons.
“But I think I’ve come to stay in England and I hope that will end all the confusion of the past.
“As a professional, I’ve always put my own needs and goals above anything else. But I decided to stay at Chelsea because of the encouragement I’ve received from our manager.”
