Darlington's administrator David Clark admits the club's situation is "very serious and worrying" after the deadline for offers to purchase the Coca-Cola League Two outfit passed without one being accepted.
The Quakers entered administration in February and their resulting 10-point penalty denied them a finish in the play-offs.
Clark revealed he will "continue to search for a purchaser for the club while we are able to operate but the situation is precarious".
He said: "As everyone is aware we set a deadline of May 5 for all interested parties to contact us in respect of purchasing Darlington Football Club. Unfortunately to date there have been no offers for the club we are able to accept.
"Unfortunately, we had the unpleasant task of letting more staff go in order to cut costs, taking the current personnel to the absolute minimum.
"I would like to thank the staff that have worked with us through the difficult time of administration - and it is with a great deal of regret we have had to let those people go as they have worked so hard.
"Those staff that remain, on essentially the non-football side, will continue to defer part of their wages. I will continue to run the club for as long as I can and honour all events and commitments that have been booked.
"Until a buyer is found I cannot say what the future of Darlington Football Club will be, however the situation is very serious and worrying.
"I urge any interested person wishing to enquire about the club to contact us as soon as possible."
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