The England full-back has earned a call-up to the national side ahead of his younger club teammate.
Shaw was publicly criticised by Mourinho after being hooked at half-time in Man United’s 2-0 FA Cup quarter-final win against Brighton & Hove Albion last Saturday.
Since, reports have indicated both the youngster and his more senior teammates have been displeased by Mourinho’ comments, and suggestions that Shaw will leave the club in the summer have been regular.
“He is a fantastic player,” Young said. “I feel he can be one of the best in the world. You’ve just got to work hard.
“We’ve got a healthy competition in our squad and when you’ve got world-class players training day in, day out, everybody wants to be in that team.
“It is tough. I’ve always said, when you join a club like United it’s a tough place to play at.
“But if you play and train and give 100%, then get your opportunity – I’ve always said you always get your opportunity there.”
Young didn’t indicate that Shaw has no future at United, instead saying he’s desperate to see him succeed and can see that happening with hard work.
“Obviously, he [Shaw] is a player that wants to do well, I want to see him doing well,” Young continued.
“It’s like all players, you just have to get your head down and work.”