The Red Devils have endured a difficult March following their 2-1 loss to La Liga side Sevilla in the Champions League round of 16.
Manchester United booked their place in the FA Cup semi-finals following a 2-0 win over Brighton and Hove Albion last weekend.
However, Mourinho’s post-match media attracted more attention than the result after the manager criticised Shaw for his performance.
The Red Devils boss hasn’t been afraid to criticise the England international since taking over from Louis van Gaal in May 2016.
Mourinho’s treatement of Shaw has similarities with Schweinsteiger, who was sent to train with the club’s Under-21 team.
The Portuguese head coach deemed the World Cup winner and seven-time Bundesliga champion surplus to requirements at Old Trafford.
However, the versatile German midfielder managed to fight his way back into the first-team before he moved to Major League Soccer.
Former Arsenal striker Wright believes Shaw should look to follow in the footsteps of the German legend.
“The Schweinsteiger situation. He was a World Cup winner. He was an exemplary professional,” Wright told BBC Radio 5 Live.
“He trained with the kids. I remember him getting this eerie reception at Old Trafford after Mourinho tried to bomb him out.
“He didn’t want to go. Shaw has to look at a situation like that.”
Manchester United signed Shaw in a £27m deal from Premier League rivals Southampton in the 2014 summer transfer window.
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