The future of the 34-year-old has been in doubt for most of the season with his current deal set to expire, but his form has had many expecting new contract negotiations between Drogba and the club.
Drogba told the Fulham and Hammersmith Chronicle: “I don't think we can take decisions at emotional moments like this. The most important thing is not my future, but the way we were fighting to win this cup – and the way the fans were supporting us, even when we conceded a goal.
“I've been here eight years and always so close, and so far at the same time. But now the cup is going back to Stamford Bridge and it's the best feeling ever.
“I think today is a big achievement to the squad and I just want to say thanks to all the players I've played with and the managers who helped me as a player and a person. I'm very happy.
“The way we played this season in the Champions League, I think we are a great champion and deserve to be champion. You can say it's in our DNA – the spirit and the winning mentality.”
Drogba explained the disappointment that the side faced, losing to Manchester United on penalties in 2008, but highlighted his delight at putting the memory to bed.
“In Moscow it was very difficult – very painful for us and today we managed to change it. Again it was an amazing game, a crazy game. We gave everything and I don't know if we've got enough energy to party tonight.
“I was confident before going to take the final penalty. I still had it in my head what happened in the African Nations Cup when I missed one in the final, but at the same time I was confident.
“And because Petr Cech made some great saves and is the best goalkeeper in the world, when I went to take it, I wanted to score for him and my team-mates. I wanted to make Chelsea smile.
“It's the last kick of the season and what a way to end it. I think we're going to enjoy it and we're going to party together.”