Mourinho, though, was keen to praise his players for a result that closed the gap at the top of the table to five points ahead of Manchester City's meeting with West Ham at the Etihad Stadium on Sunday.
"It was two very good teams going through different moments of the game", he said. Amazing, phenomenal, fantastic. They deserved three points.
Discussing the Pogba red card, he said: "I don't know".
Jose Mourinho insists he is "not surprised" Pep Guardiola was not punished for encroaching on the pitch on Wednesday - as the Manchester United boss was earlier this season.
"I loved the way my team played and fought. A bit disappointed with this colleague, Koscielny, with this kind of reaction", Mourinho said.
"If it was hard, no; if it was mud, no - the pitch is absolutely handsome but I think they were a bit too much".
The one negative was Pogba's dismissal in the second half, which rules the France global out of next weekend's derby with Manchester City.
"In the second half we had to regroup and reorganise".
Before welcoming City to Old Trafford, United have a midweek Champions League fixture to contend with.
Arsene Wenger has often referenced Ozil's need to be wanted at a club but some Arsenal supporters have become increasingly disillusioned with the Gunners star.
"There were unbelievable individuals performances and collectively we were very strong".
Mourinho added: "I told De Gea after the match, what I saw today was the best from a goalkeeper in the world".
Man United's mercurial talisman Paul Pogba may have strayed into that risky territory this weekend when speaking to BBC Football Focus about City's players. "If you want to analyse well, watch the difference between them and us and then you will see", he said.
"I felt that at the back our concentration was not sharp enough from the start and not dominant enough. David was unbelievable. When they had the two or three clear chances David was there so we are very happy".