Inter completed an unprecedented Italian treble after Diego Milito's double downed Bayern Munich 2-0 at Real Madrid's Santiago Bernabeu stadium, where the Portuguese could be coaching next season.
"Should I change teams my career won't change. Next year I could face Inter. If I go to play at the San Siro, I go to play at home," he told a news conference having earlier given conflicting signals on his future to television stations.
"I'm coach of Inter not Real Madrid. I'm very proud now of being Inter coach. If I become Real coach it's because the club (Real) wants the same as me," he added.
Mourinho, who became only the third coach to win the European Cup with two different clubs having triumphed with Porto in 2004, said he had not held talks with Real but could do "after tomorrow".
"It was an unstoppable hug. More than the words it was the hug. It was an incredible wedding between us. He wanted me a few years ago when I was at Chelsea. He tried again and I went and maybe he had a feeling I could give him his dream," he said.
"We'll lose the architect of the team," he told reporters.
"Few have the privilege of winning it. It's an even bigger privilege winning it twice. I can win a third, a fourth, a fifth time but I don't think the feelings will be different," he said.
"The feelings are joy and happiness and a tear if I leave."
