The 43-year-old is currently assistant coach of United’s Under-23 side, the club where he spent seven seasons after joining from Atletico Madrid in 1999.
And while Fortune acknowledges the task will be a tough one, especially considering the Red Devils’ penchant for appointing big-name international coaches, he insists he is up to the task.
“I thought about that question yesterday for some reason and my first thought was to become the manager of Manchester United,” he told United’s official podcast.
“That’s my dream. Of course, I’m starting now with the Under-23s and I’m learning a lot and I want to learn as much as possible because management changes so much in the game today. [I want to] learn and just try to help young players get better. That’s the main thing now for me.
“Yes, we want to win games of course, but the aim now for myself and ‘Woody’ [head coach Neil Wood] is to get the players to the first team. That’s the most important thing. And from there you learn as much as possible.”
Fortune concedes that he may have to leave Old Trafford to gain some experience as a top-flight manager, adding: “I may have to go out and learn somewhere else and become a manager. But the dream, the ultimate dream, is to come back and be the manager of Manchester United.”