Di Matteo declined to reveal what Abramovich told him before the trophy presentation, saying: "I don't discuss these things but he looked very happy and all the supporters, players and staff are happy because this is an historic night for our club."
He added: "Football is crazy and unpredictable and I don't think anybody could have predicted what has happened in the last three months. I feel great and I'm pleased for everyone connected with the club.
"I am so pleased for our players because they have worked so hard over many, many years to achieve this objective and of course had the experience of losing on penalties to Manchester United in the final in Moscow in 2008."
who scored the equaliser before hitting the winning penalty in the shoot-out, praised his team-mates.
"I believe a lot in destiny. I pray a lot. It was written a long time ago. God is wonderful. This team is amazing.
"I want to dedicate this Cup to all our managers and players before. It [the goal] changed the game mentally. I'm very happy. Life is fantastic."
"It's probably harder watching," he said. "The lads were fantastic from start to finish.
"When our backs are against the wall we step up to the mark.
"You look at that trophy and that's what we and the owner [Roman Abramovich] have wanted and Robbie [Di Matteo] has been superb.
"We have won the FA Cup and Champions League and he [Di Matteo] can't do any more than that.
"It was do-or-die, win the competition or we would not have been in it next year, and that was enough to motivate us before the match."
who saved a penalty from Arjen Robben in extra-time and another from Ivica Olic in the shootout, said: "It was a rollercoaster ride, we all enjoyed it.
"When it goes to extra-time there is pressure and I thought Robben would go for power and shoot that way.
"Today I faced six penalties and six times I went the right way. Whatever happens to him [Di Matteo] he has got two fantastic cups. He's done enough to get the job but now it is up to the board to decide."
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