The 20-year-old was included in Gareth Southgate’s latest England squad, despite having started one out of four Premier League matches this season.
Rashford has been deployed as a winger when coming off the bench, and Wright believes the talented youngster will have a decision to make in the near future.
He told BBC Radio 5 Live: “I think that Rashford, especially when he burst onto the scene, we saw flashes of a striker that can go into the space and he can link up, and he can finish.
“Now, what’s happened to him since he’s been at United on the left or the right, wherever they play him, he’s played everywhere apart from up front learning his trade.
“He’s got pace, he’s got skill, he’s got finishing ability. He’s been playing in roles that have taken the edge of those sides of his game.
“Rashford’s got massive, massive, decisions to make in the next year, 18 months for me.
“He’s either got to leave Manchester United and play, and play in a position where he’s going to start to be that player we all thought he was going to be when he burst onto the scene, scoring goals left, right and centre every competition he has played in or he’s going to have to stay there, whether it’s Mourinho or whoever it is, and maybe playing on the left, maybe playing on the right, maybe playing up front.”