The Red Devils handed the managerial reigns to Ralph Rangnick on an interim basis until the end of the season after sacking Ole Gunnar Solskjaer in November.
Zidane has been tipped as one of the favourites to take the Old Trafford hot seat as he is currently unattached after leaving Real Madrid at the end of the 2020/2021 season.
Paris Saint Germain manager Mauricio Pochettino is another name that has been mentioned in connection with the United job, but Saha, who enjoyed a four-year stint at Old Trafford, winning two Premier League titles and the Champions League, wants his former international teammate to be given the job.
He told Stats Perform: "I feel like anyone who has proved in some way in some capacity, I think Pochettino is one of them.
"But anyone who has proved that you can build a team and make them improve in a way to win the Premier League as [Jurgen] Klopp has done, I think will have the job.
"We need to have the right manager who is able to really give that boost. We've seen this with Ralf on the touchline, that kind of energy, those guys, especially when you have three-quarters of the squad that is quite young – you need to have someone with that kind of energy.
"I don't want to put Pochettino above anyone. In my dream, I think about Zidane. There are definitely good names that I've heard in the last few weeks.
"But yes, those are names and the most important is the fit where there is a project. Whoever is coming is not coming for two years because you want to attach his name to a big club."
