"I am very pleased to have granted preferred bidder status to the CPFC 2010 Consortium," said Guilfoyle.
"I am satisfied that they have the finances and the ability to purchase the club and reach agreement with the creditors of the club."
Their offer is conditional upon both the transfer of the Football League share and them acquiring the stadium.
"The key to the proposed sale is the stadium and I am hopeful that the CPFC 2010 Consortium can have constructive negotiations with the stadium Administrator, Laurie Manson," said Guilfoyle.
"However, time is of the essence, I think everyone knows that I am not currently funded beyond the last game of the 2009/10 season."
A spokesman for the CPFC 2010 Consortium, David Jensen, added: "I am pleased to be assisting the CPFC 2010 Consortium who are grateful and privileged to be granted preferred bidder status.
"Like me, the club is important to them and they have come forward with an offer to save the club from closure.
"The CPFC 2010 consortium is well funded and can complete the transaction however they want the maximum investment to move the club forward.
"Should anyone be interested in joining the CPFC 2010 Consortium, they should contact the Administrators."
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