Yet Van Gaal suggests the only reason why Solskjaer is proving to be more popular in the role than his predecessor is down to the winning run he has put together, as he insists the club are still using tactics that would not have been embraced by legendary United boss Alex Ferguson.
The Red Devils had lost just one of his first 17 matches across all competitions under caretaker manager Ole Gunnar Solskjaer before suffering successive losses before the worldwide break.
When asked what his greatest achievement was, he didn't need much time to think.
A quick look at recent games shows how United's midfielders, and even defenders, are always looking for a forward pass rather than a lateral one, which was quite evident under van Gaal and Mourinho - Solskjaer has literally and figuratively pushed Manchester United forward.
"Tottenham were a better selection because Manchester United were an old team and I knew I would have to transform them", he says.
"Winning a trophy despite having a noose round my neck for six months", he responded, referring to his sacking, which broke within ten minutes of his United side beating Crystal Palace to lift the FA Cup. "When you play for Manchester United you become part of the fabric yourself", said Cole, who was speaking at the launch of the International Champions Cup in Cardiff. It is very important that Manchester United qualifies for the Champions League, as it was when I was manager.
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Midway through Van Gaal's second season, a poor run of form increased pressure on his position as they picked up two points from five games and were knocked out of the Champions League.
"I can imagine Woodward chooses Mourinho", Van Gaal told the BBC.
According to the Daily Mail, the board are pleased with Ole as they feel he's saved them £50m by tightening up the defence, particularly ending the debate over a new centre-back.
It has been announced that Gary Walker, the current Manchester United coach will relieve himself off his duties at Old Trafford soon. That is why a lot of young players have made their debuts with me. A chance is a game. Then you have an automatic pilot.
In his short stint as Manchester United manager, he has pushed principles that the club has always stood for - promoting youth players, playing attacking football, never giving up, and always pushing for success.