Solskjaer has performed a full 180 degree turn since taking over from the sacked Jose Mourinho in December, winning 11 of his 13 games in charge and completely eradicating what appeared to be an unbridgeable 11-point chasm between United and the Premier League top four.
But where critics like former United midfielder Paul Ince have claimed that anyone but Mourinho could have got the same level of response out of the squad, Shaw's comments again show there is much more to Solskjaer than some are prepared to give him credit for.
"It's just amazing to look at the job Ole has done since he came in. How much he has turned it around and how much the place is in a positive way now," Shaw is quoted as saying by the Daily Mirror as United prepare for the visit of Liverpool on Sunday.
"He knows how good we can be and, if we're not up to his standards or the standards of Manchester United, he will certainly let you know. We've had a few moments like that where we might have been comfortable in a game, but got a bit sloppy."
Channelling the spirit of mentor Sir Alex Ferguson, Solskjaer was reported to have unleashed his own 'hairdryer treatment' on the United players in the dressing room after the rec
He is not simply in the job to rub the ego of players like Paul Pogba and Anthony Martial.
"He's the manager and he tells the players what he wants. It's good and what we need sometimes, a kick up the backside from the manager, if we're getting too comfortable," Shaw said.
"It keeps everyone on their toes, but he's an amazing guy and a brilliant manager."
Still only operating on an interim contract, should United beat title chasing Liverpool on Sunday there will be even more calls for Solskjaer to be appointed on a permanent basis.