Billionaire Shahid Khan believes Wembley will lose its soul if England stop playing there.
The owner of Fulham FC and the Jacksonville Jaguars in the NFL has made the Football Association an offer of £800 million for Wembley Stadium.
That has prompted speculation over the future use of the venue, including whether England could play matches in stadia around the country, just as they did when Wembley was being rebuilt from 2001 to 2007.
But, in an interview with the Daily Telegraph, Khan, who is confident he will be the new owner by August, said: "England must play there. Otherwise, it will be a shell. It would be like an empty suit that doesn't have soul.''
He added: "We don't want the FA abandoning us. Even though the FA captures the revenue from the games, it injects the soul, the passion into the venue that adds value [for us].''
The Football Supporters' Federation will canvas opinion if Wembley is sold to determine its members' view on the possibility of England home matches being staged around the country.
The FSF said: "While some fans will back the idea of England matches going 'on the road,' others support the concept of a national stadium.
"If this does turn into a concrete proposal we will survey our members to find out the balance of that opinion.''
The England Supporters Band is open-minded about the future of international home matches, having played during the period of the Wembley rebuild when matches took place in regions allowing different fans to attend.
John Hemmingham, the band leader and trumpet player, told Press Association Sport: "Wembley is England's home and I think it always will be, but that said, when they built the new Wembley and we went on the road it was good, opening it up to a new audience -- that's a good thing.''
Khan also claimed that buying Wembley would be beneficial to any potential World Cup bid.
"Our role would be to provide a world-class venue,'' he told BBC Sport.
"[The FA] will have a pool of money of about £600m that can be invested into the core mission of the FA, which is English football and their ultimate goal of winning a World Cup.
"Wembley is a great stadium and you want to get it configured to hold Super Bowl and World Cup finals.''
Khan revealed he would look into the possibility of installing a roof that fully closes at the stadium.
He said in the Telegraph: "There are now all kinds of plastic roofs [you can install], so if you could do that you could control the climate.
"With the roof, there are two sliding parts that move but the rain can still come in and if you are looking at a winter concert, for example, would it be comfortable for people?''