Former Ivory Coast coach Sven Goran Eriksson tops the shortlist, with Mowbray and Hughes also under consideration.
Ex-Manchester City boss Hughes is in demand while Mowbray had a bad spell at Celtic but is renowned as a manager who encourages good football.
But Eriksson would be a major coup for Fulham after the 62-year-old Swede's brief spell with Ivory Coast at the World Cup.