Mourinho was sacked as United manager in December after overseeing the club’s worst start to a campaign in 28 years.
When asked if he was a victim of Pogba, Mourinho told French newspaper L’Equipe: “No, no. The problems are there, you can imagine that the problems are the players, the organisation and the ambition.
“I will only say that I cannot say ‘yes’ when you ask if Paul was the only one responsible.”
Ole Gunnar Solskjaer was appointed as Mourinho’s successor on a three-year deal in March after winning 14 of his 19 matches as interim manager, helping to propel United back into the race for a top-four finish.
But a dismal run towards the end of the campaign eventually saw United drop out of contention and finish in sixth, five points off fourth-place Tottenham.
Mourinho added: “On Manchester United, I only want to say two things. One is that time has spoken. Two, it’s the problems are still there.”
Mourinho had wanted to sign at least one new centre-back last summer, with Harry Maguire, Jerome Boateng, Toby Alderweireld and Diego Godin among his targets.
But United did not sign a new centre-back, with Mourinho made to settle for midfielder Fred, defender Diogo Dalot and back-up goalkeeper Lee Grant as his summer recruitment.