Having played most of the semi-final second leg against Pep Guardiola's side with only 10 men following John Terry's red card, Roberto Di Matteo's side recovered remarkably from two goals down to stun Barcelona at Camp Nou, drawing 2-2 on the night.
And Drogba thinks that he and his team-mates deserve to be in the Champions League final, where they may yet face former Chelsea boss Jose Mourinho, with the Portuguese manager now in charge at Real Madrid.
"Everybody says it is a difficult season but we are in the FA Cup final and the Champions League final now and I think everybody would love to be in our situation in two very big finals," Drogba told the club's official website.
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"I think it's going to be one of the best nights I had in my career. I hope there is more to come," he smiled.
"It's a great night for the Chelsea fans, they came here and we are happy for them. I can still hear them singing.
"We have to be proud. We have done it in the past. It was a good game and we always manage to score. It's one of the best results against one of the best teams in the world. Nobody expected us to be there."