Drogba, who missed Chelsea’s victories over MSK Zilina and his old club Marseille earlier this season because of suspension, returns to the side for the trip to Spartak Moscow on Tuesday week.
“It would not be a big drama for me if I finished my career without winning the Champions League,” said the 32-year-old, capped 67 times by the Ivory Coast.
“I really want to pick up the trophy but nobody will question my ability or achievements if I don’t do it.
“George Weah and the Brazilian Ronaldo never ever won the Champions League, but it didn’t stop them being remembered as really great players.
“My main achievements and satisfaction will come from knowing where I came from.
“If you had told me when I was 15 how far I would go I would have said you were crazy.”