Fulham are declining to comment on speculation that Mohamed Al Fayed is prepared to sell the club.
There are suggestions that the owner of the Jacksonville Jaguars, who play in American Football's NFL, is interested in buying the Premier League team.
Shahid Khan has close sporting ties to London, with his side due to stage a regular season game at Wembley later this year.
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Al Fayed has been in charge of Fulham since 1997 and the Egyptian has overseen a successful period which has seen the West London club established in the Premier League and reach the Europa League final in 2010.