The Red Devils sacked Ole Gunnar Solskjaer on Sunday and revealed that they would be looking to appoint a new boss on an interim basis for the remainder of the 2021-22 campaign.
Steve Bruce, who recently left Newcastle United, has been linked with the position, and his son has said that the 60-year-old would be open to the role at Old Trafford.
"Who knows? I think everyone knows he has a great relationship with the club. If they needed him, I'm sure he would be there to help," Alex Bruce told Sky Sports News.
"I think they need to get a world-class, elite manager. If they can't find someone at this present time, then I'm sure he would be up for it.
"In terms of the long-term, it's important that the hierarchy get the next manager right and give whoever that person is time to improve the team and time to improve the squad and put Manchester United where they need to be.
"Dad carries a lot of experience. He knows a lot about the club. One thing you can say about the people there at the moment is that they don't carry a lot of experience. Whether they want someone to come in and give them a hand for the time being if they don't make that elite appointment, we'll just have to watch this space."