The left-back has enjoyed the best season of his career with the Red Devils, both from a defensive and attacking standpoint.
Shaw got praise from Solskjaer when the manager recently commented that he was one of the best finishers at the club.
Asked by a fan about that praise, Shaw replied: "Isaac, good question. I'm happy to just go with what the manager says, if he says it then it's true," Shaw said while smiling.
"I think I would put myself up there but I need to back it up on the pitch and start scoring more goals and maybe more people might start believing me! But if Ole said it then I'll take it.
"Like I said, I need to be backing it up on the pitch more."