Fortune spent seven years playing under Sir Alex Ferguson at Old Trafford between 1999 and 2006, and earned one title winners’ medal in 2003.
The 43-year-old former South African international is now an assistant manager with Manchester United’s u-23 side but he is keen to make the step up from his current position.
There are currently just six managers of Black, Asian and Minority Ethnic (BAME) descent in England’s top four divisions and there have been calls for an increase in the number especially at a time when issues of racial injustice garners worldwide attention.
"I want to be given the job because of my ability. I want to always be judged because of my character and what I can bring to the team, not because of the colour of my skin," Fortune told Man United's official podcast.
"When you look at the game, you see a lot of black players but why are there not many black managers? I don't know what the reason is. I think if I go too deep into that it will block my way of thinking.
"If there was a system in place to give more black players an opportunity, great - get more black players as coaches, I'm all for that."
"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," he added.
"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."