Man management seems to be a very overrated thing by some people. There are plenty of managers that keep players happy at their club; it is not something special. It takes someone trying, like Mourinho, to actually upset and lose their players. Why was he able to keep Chelsea, Inter Milan, and Porto's player happy? Because Mourinho did not try to upset his players back then.
Players are happy with managers for two reasons: they are reaching the expected level under that manager; the players believe the manager will get them to that level consistently. Ferguson had plenty of titles in the end to give the players that belief and proof that they will win under him. That is the main thing of man management at Manchester United. Personal relationships are mostly easy. The stories of managers falling out with players are in the minority, and, if there is one, it is usually about one player e.g. Guardiola and Ibrahimović.
The reason why managers lose their jobs is because they are not achieving the expectations. The players will not try to get Solskjaer sacked as that is like kicking themselves, but their lack of belief will grow and inevitably affect their performance. This is how man management actually works. I think a lot of people underrate Ferguson's tactics because he said they did not think about it too much when facing lesser opposition, but that was because they were so well drilled they did not need to think about special tactics. All they had to do in the end was send the players out and they will most likely win.
Solskjaer has to keep thinking about tactics against smaller teams because the team is not organised by standard, which it should be. That is a massive failing of Solskjaer, and a major reason why we struggle in so many games.