Samuel Eto'o hit a 78th minute winner for Inter, who had fallen at the first knockout stage for the last three seasons. The Serie A side went through 3-1 on aggregate.
NEWS:Chelsea overwhelmed by Mourinho
"We were the best team by far. To win here was almost a perfect performance not just by the team but by the individual players," Mourinho, who left the London club nearly three years ago, told Sky Sports.
"I celebrated a lot in the dressing room because it was a big victory for my team. I love Chelsea, I love this stadium and I love these people. But I'm a professional and who knows I could coach another English team and come here again."
Inter had missed the three best chances of the match before Wesley Sneijder sent Eto'o free and the Cameroon striker scored with aplomb as Inter fly the flag for Serie A as the only Italian team into the last eight.
"I think we dominated the game and there was no danger for us... when we were attacking we created the chances and the goal finally came and we should have got two or three," said Sneijder.
Mourinho's tactic to start with three strikers - Eto'o, Diego Milito and Goran Pandev - seemed to catch Chelsea out and it took the Londoners a long time to get a hold on the game.
Chelsea were showing nothing at the other end and it was no real surprise when the impressive Sneijder looped a ball over the home defence and Eto'o, who had not
