United's result on Tuesday means Mourinho has now gone winless in four consecutive games for the first time in his managerial career.
Fans showed their frustrations after United's fourth game without a win, chanting "attack, attack, attack" as they echoed comments by Paul Pogba in his recent criticism of the team's playing style.
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Strachan agrees but thinks living up to the reputation of the club is too much for some players to handle.
'What I can say from the inside is that the lads are calm, working every day with a good attitude.
And Mourinho levelled the blame squarely at the feet of local police for causing unnecessary problems for United in the build-up to the match. Our attacking players are not in their best moment of confidence and individual performance level, so we thought with three or four chances we would score and win the game, which we didn't.
His next longest reign came with three complete seasons, at Real Madrid, whom he left after failing to deliver the then-required La Decima - a 10th Champions League trophy.
"I agree with Mourinho about what he said in regard to the crest", he told Sky Sports' The Debate.
"However, something dramatic has to be said or done for that to happen, because United need to be in harmony and, right now, that is definitely not the case".
He is the manager and it is down to him to get the players to do exactly what he wants them to do on the pitch.
"I think you have enough reasons to criticise me".