Stalwart Ryan Giggs took over for the remaining fixtures before Louis Van Gaal's arrival who was himself eventually pushed out in favour of Mourinho.
And Shaw thinks that simply shouldn't be happening.
If Mourinho was attempting to lighten the mood and ease the tension, he didn't make a good job of it. His reign as United manager is following the same path as those at Chelsea (twice) and Real Madrid - he is lighting fires and seemingly not caring how badly he gets burned. In fact, it isn't really a time for posts.
A United Kingdom newspaper claimed Zidane called Mourinho to clarify suggestions he has been lined up to take charge at Old Trafford.
Mourinho's responses to questions about the commitment of his players hinted at his own realisation that not all of them are fans of his.
"Games like this [at West Ham] we should be dominating, creating chances, showing people why we deserve to play for Manchester United".
"We continued playing in the same way and improving because without believing in your performance it's very hard to be a good team". Sometimes what it looks is exactly the opposite.
"You look at our team today and we had a very strong team".
Jose Mourinho insists he is not feeling the heat.
Sanchez is also said to have made it clear to staff at United how angry and upset he was at his exclusion, although with no goals this season, he can hardly complain too much.
The English defender, however, defended the Portuguese man as he said: "We have to look at ourselves as players".
"I don't think with talking you can resolve something", Matic said.
The West Ham defeat was United's third in the league this term and condemned the club to their joint worst start after seven league games since 1990 - with just 10 points and a negative goal difference.
As for Mourinho, Arnautović added: "I have nothing to say".
Yet Gary Neville, the former United captain, said Woodward must shoulder the blame for the "mess" the club now finds itself in and accused the executive vice-chairman of operating without any plan.
David Moyes and Louis van Gaal were both dismissed after failing to qualify and United are already five points off the top four. I thought that as a player and I think it even more as a manager.
"Mourinho keeps ripping things up and starting again".