Inter meet Serie A title rivals AS Roma in the Italian Cup final on Wednesday but with the outspoken Mourinho giving a rare domestic news conference, questions about his future flowed.
Asked if he would stay next term, he said: "I can't say it, in football you can never say a thing like that."
"The lady may be president, a doctor, she may be born in a golden crib but she must give us respect," Mourinho barbed, before criticising the long-made decision to hold the Cup final in Roma's Stadio Olimpico home.
"They are lucky to play the Italian Cup final at home, a unique thing in the world because I don't know any other national cups which finish at the home of one of the finalists."
Roma coach Claudio Ranieri, whose side can still win their first double if they beat Inter in the Cup and overhaul the Milan side's two-point lead with two games to go in Serie A, was in charitable mood by contrast.
The 58-year-old declined to discuss the Lazio controversy and played down his rivalry with Mourinho, who followed him as Chelsea coach and once labelled the Roman "a 70-year-old".
"My relationship with Mourinho is good, I admire him both as a coach and person, he's doing extremely well in Italian football as well, so really he deserves everything he's getting," Ranieri said.
He reckoned the match was "50/50" but acknowledged the fact the game was being played in Roma's Stadio Olimpico home could boost his players.
