The 24-year-old, who joined United from Southampton for £27million in 2014, revealed the key role Solskjaer played in helping him revive his flagging career.
“He's helped me a lot on the pitch, but more so he's been one of the biggest influences off the pitch too, with the way he handles players," said Shaw.
“He knows what players need. I had a difficult couple of years before he came in - I think maybe he realised that and knew what I needed.
“He's really helped me off the pitch. He obviously believes in me, he tells me that.
“That's the confidence you need as a player: to have the manager believe in you."
Shaw added: “There really is a great feel about this group of lads now, and that's been the case for a while.
“I've seen a lot of changes during my time at United and I have to say that Ole has been responsible for a large amount of the improvements around the place.
“When he came in, he knew what was needed, what had to change to get things up and running again.
“He's signed people who aren't just good players, but also really good lads as well.
“They've integrated in the squad really well and brought a bit more energy and togetherness in the group."