They were due to meet with GFH for talks on Tuesday, believing Cellino's ownership would not be in the club's best interests.
McDermott committed to Leeds job
A proposed takeover by Sports Capital, which involves Flowers and Leeds managing director David Haigh,
fell through last week
because of a lack of financial backing.
In a statement, owners GFH said: "The winding-up petition issued by Enterprise Insurance, a sponsor whose managing director, Andrew Flowers, claims to support the club, is misconceived and an abuse of legal process. It is being vigorously contested by the club's lawyers and there are no valid grounds to issue the petition.
"Under the ownership of GFH Capital, Leeds United has always met its financial obligations, and it will continue to do so."
GFH has previously insisted that the mid-table Championship club will not go into administration while it is in charge.
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