Boateng, 30, looked set for an exit from the Bundesliga champions in the previous transfer window with Paris Saint-Germain and Manchester United both lodging bids for the 2014 World Cup winner.
However, the ball-playing central defender revealed why he opted to remain at the Allianz Arena, despite signalling an indication of wanting a new challenge.
"I had enquiries from Paris-Saint Germain and Manchester United, and I considered them," Boateng told Bild. "Not because I wanted to leave Bayern Munich by all means.
"It was no escape, but rather the thrill of a new challenge. I feel completely contended at Bayern one of the biggest clubs in the world.
The former Manchester City man further insinuated that the current Red Devils project was not on par with The Bavarian Giants - as the reasoning for rejecting the chance to work under the Portuguese tactician.
"I phoned Jose Mourinho and told him that his interest honoured me and thanked him that he put his back into United for me," Boateng said.
"I explained to him my reasons for not joining. It's difficult to leave FC Bayern. Everything has to fall in place to top this club if I do it."