Di Matteo refused to discuss his future after Chelsea were handed the trophy.
He said on ITV1: "I'm enjoying this moment and I'd just like to go out and celebrate with the players.
"I won't talk about it now. I just want to enjoy the moment."
The Italian hailed his team's spirit, saying: "We have a group of players that have a big heart, passion, motivation and desire.
"That was the only way to be able to achieve this trophy.
"It's been an immense effort by the whole group - staff, players - and we are very happy tonight."
Asked whether he had doubts when Bayern took a late lead, Di Matteo said: "Bayern is a good team and when they scored there was not much time left.
"Games like this need passion and players who rise to the occasion.
"We've got a lot of players like that, who have done it before and did it against today."
As for Drogba, who joined Chelsea from Marseille eight years ago, Di Matteo said: "He's been incredible for this club.
"He scored a fantastic goal tonight to keep us in the game, then the winning penalty as well."
Di Matteo took over from Andre Villas-Boas at the start of March, and said: "It's been an incredible three months, demanding and challenging for everybody."
"I feel great," he said. "But I need a holiday because these last three months have been very challenging.
"At this moment, whatever the future holds for me is irrelevant."
As he went up to get his medal at the Allianz Arena, it did appear Di Matteo said "we did it" as he embraced Abramovich.
However, he would not confirm that in the aftermath.
"I don't discuss those things in public," he said.
"But he looked very happy on what was an historic night for our football club."
Di Matteo also claimed Chelsea deserve to take their place in next season's Champions League, which they will do at Tottenham's expense, even though they could only finish sixth in this year's Premier League.
"I do feel the winners should qualify for next season's competition," he said.
"That is the right thing. Whether it is fair or not for Tottenham to be in as well is not really for me to answer."