The former Chelsea boss worked under Sir Bobby Robson as an interpreter at Camp Nou.
The Portuguese tactician later joined Louis van Gaal’s coaching staff at Barcelona.
Inter Milan managed a 3-2 aggregate success over Barcelona int he Champions League.
“I’m not stupid enough to think that this hate can be turned into love,” said Mourinho.
“I respect Barca and I’ll never forget what the club gave me in the four years I was here, but something has been created around me that is hard to make positive.
“It is clear that I will end my career without having coached Barca.”