The Chelsea striker was dismissed towards the end of extra time after raising his hands towards the Manchester United defender, with the Red Devils going on to triumph in a dramatic penalty shoot-out.
Drogba believes he should not have seen red, but claims he would prefer to have acted in a way which would have seen him deserve to be given his marching orders.
The Ivory Coast international said in his autobiography: "I have seen the match on video and I believe I should not have been sent off with three minutes to go. "If I had punched him, I would have understood. Now I wish I had."
Drogba claims his frustrations boiled over in the closing stages because of his desire for victory and his anger at missing a chance earlier in the match. He added: "You have a lot of regrets when you go to the final and lose it. I have more regrets about losing the final than being sent off.
"But it wasn't the worst feeling. Hitting the post was. I wasn't feeling well because I was playing alone and against world-class defenders. When you get a chance like that you have to take it.
"Some Chelsea fans blame me for losing. I can take it but I think I gave my best, as I always do, because I want to be No.1. Sometimes I want that too much.
"I apologised to my friends. People can make mistakes."

