The England midfielder has struggled with injury since his arrival from Chelsea and it's been suggested he could be sold this summer.
Brown told Football Insider: "There's going to be no shortage of interest in a player like Mount.
"He's got a very good reputation and he's spoken about very highly at Man United. Everybody I speak to says what a wonderful trainer he is, he works very hard and his general demeanour around the club and in the dressing room is good.
"That's always good to hear if you're looking into a player because it's important to bring people in who have the right attitude and application.
"I'm told Aston Villa have been keen on him before and I'm sure he's still on their radar, and then you've got teams like Fulham who will be looking if he is made available.
"I can imagine there are a number of Premier League teams who could do with a player like Mount. It's just about whether he can stay fit for long enough to make a difference, I think that's what will make or break any move for him, and the money involved as well."