Tim Sherwood has been handed control of first-team affairs in the interim, and again re-iterated his desire for full-time position after a 3-2 win over Southampton, but the 62-year-old is the latest to be linked.
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"I'll never comment on offers but everyone who knows me, knows that I won't do a job share", Van Gaal told NOS.
"I've always said I want to work in the Premier League eventually, so there's a chance. There are times a deal is announced and there are times it's in preparation. At that time there's no time for media.
"I’ve read also in the English media that Frank de Boer and Guus Hiddink are in the picture. All the agents do that. They think that's interesting. You never know if it's really like that."
Ajax head coach Frank De Boer recently described speculation linking him with the White Hart Lane vacancy as flattering, but insisted he has unfinished business at the Eredivisie champions.
Meanwhile, former manager Glenn Hoddle has made public his willingness to return - describing the club as "in his blood" after a life-long affiliation.