The England international has struggled to hold down a regular starting spot in the Manchester United team this season.
The 20-year-old has been linked with a potential move away from Manchester United in the summer transfer window.
Rashford has earned a reputation as one of the most exciting English prospects despite finding his opportunities limited under Mourinho.
Manchester United would surely be loathe to sell their home grown talent and a potential transfer could upset the Red Devils supporters.
Former Arsenal striker Wright believes Arsenal, Chelsea FC, Liverpool FC, Manchester City and Tottenham would all be interested in Rashford.
“He is ambitious. He wants to play well,” Wright told Sky Sports.
“If he has another season on the sidelines and used sparingly, what about his progression as a player?
“He could play for anyone. Especially the top four here [in England].”
Rashford has only started 14 times in the Premier League this season, making a further 15 appearances from the bench.
The England star scored eight times in 18 games in the 2015-16 season under Van Gaal to earn an exciting reputation.
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