The Red Devils boss publicly berated some of his players following his side’s 2-0 FA Cup win over Brighton.
It came just days after Manchester United were eliminated from the Champions League by Sevilla.
Matic, who also worked with Mourinho at Chelsea, was one of just a few players given some credit by Mourinho after Saturday’s win.
‘It is very difficult to work with him because he always wants more and more,’ said the Serbian midfielder.
‘Even if you win the league he wants to win again next season. He is like this and the players need to be ready for that.
‘He is special because he wants to win always. You can see when we lose a game he cannot accept that. Probably that’s why he won more than 20 trophies in his life.
‘Because at this high level, at Manchester United and where I used to play at Chelsea, the players need to be ready for that because the pressure is big.
‘Everyone expects you to win every game. Obviously, it is not possible, but supporters always expect. It doesn’t matter if you are tired or not, supporters want high quality football. It is normal.’
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Despite the demands Mourinho places on his players, Matic says he is very happy at Old Trafford following his switch from Chelsea.
‘I like it when the manager always wants better and better, so you have to improve always.
‘I like this kind of work, this kind of relationship. I’m happy.
‘I think he respects what I’m doing every day, not only in the game, but in the training sessions. I’m happy for that and I will continue like this.’