Van de Beek is just a fringe player at Man United this season.
Yorke wants the Dutchman to keep his spirits up and carry on working.
Speaking to MUTV, Dwight Yorke said: “Donny van de Beek has come in as a big-name summer signing and a lot is expected of him. You know, when you come to this club, there is competition for places.
“It’s not straightforward. You’ve got to earn the right to be in the team. He’s found himself in an unusual position and he has to fight hard and show determination to overcome this and get into the team.
“He’ll get the chance to impress the manager, who is seeing him on a daily basis in training. He’s got to be frustrated and I can understand why – because he’s joined a club and has expected to be playing.
“Unfortunately, it doesn’t quite happen for him. This is where man-management comes in: to make sure he keeps his head up, his fitness and his belief. Donny will try to prove himself and show he deserves more chances.”
Van de Beek has started in just 11 games across all competitions for Manchester United so far this season after moving to Old Trafford from Ajax for a transfer fee of £35.7 million in the summer window.
The Dutchman was given a rare start in the FA Cup clash against West Ham on Tuesday, failing to make an impact on the pitch. However, Solskjaer went on to defend 23-year-old after the game.