Mourinho was desperate to sign a top class central defender during the summer transfer window as the Man Utd boss continues to have doubts over the likes of Phil Jones, Chris Smalling, Eric Bailly and Victor Lindelof.
The 30-year-old says that he was tempted by the idea of a new challenge, but could not bring himself to leave a club of Bayern's stature.
The 2014 FIFA World Cup victor was heavily linked with the Red Devils and Paris Saint-Germain in the latest transfer window, but a move away from the German giants did not materialise.
"So Paul, if you want to go play somewhere else, let's make that work for you because Manchester United will be fine, don't worry about that".
He told the Bild that he had "enquiries" from Man United and PSG but opted to remain in Germany because everything was "in place".
And Boateng confirmed that the former Frankfurt coach was one of the factors keeping him. "Not because I wanted to leave Bayern Munich by all means". I feel well at Bayern. I told him that his interest was an honour for me and thanked him for trying so hard for me.
"As a fan, honestly, part of me is that no one is bigger than the club and I am not interested in people who are looking left and right. Everything has to fall in place to top this club, if I do it".
With time running out and Mourinho still keen on signing a centre-back, the Portuguese manager looked elsewhere.
Boateng was one of several defenders who had been targeted by Manchester United in the transfer window as Mourinho aimed to bring in a new centre-half.