Rangers' administrators said they have received "several expressions of interest" from people keen to own the club.
Paul Clark, of administrator Duff and Phelps, made the announcement at a press conference at Ibrox stadium yesterday, little more than 48 hours after effectively taking over the running of the business.
Former Ibrox director Paul Murray has registered an interest in taking over the club, although the administrators would not confirm the names of the interested parties.
Mr Murray, a chartered accountant previously with Deutsche Bank, has told The Herald that he had received backing "ranging from modest offers to substantial offers". He had also described administration as one of the "darkest days" in the club's history.
Mr Clark said that interest in the cash-strapped club will be given due consideration.
He told the press conference: "As administrators we have to look at all other expressions of interest in the club, and to date we have received several expressions of interest from parties not connected to the club. These will be subject to ongoing discussions and examined in the forthcoming days."
Rangers has been handed a 10-point deduction by the Scottish Premier League because of the administration move.
The club, which has fallen 14 points behind SPL leaders Celtic as a result of the decision, is also awaiting the verdict of a tax tribunal which could cost it £75 million.
Mr Clark said he had spoken to Rangers manager Ally McCoist and the players but was unable to confirm if any club staff, including the players, would be made redundant.
He said: "I told them a review of staffing, including playing staff, would be necessary as part of the process and that it would be next week at least prior to any decisions being taken in this area.
"I'm not going to speculate what this review will entail. I am delighted to confirm that we will be making the February payroll obligations in full."
Discussing the potential tax bill, he added: "There has been widespread comment and speculation about the finances of Rangers. At this moment it is not possible to give a detailed financial report, but we can assure everyone that as part of the process there will be a full account of the club's financial affairs and this will be published in due course and become a public document.
"Looking to the future, we are hopeful that a Company Voluntary Arrangement can be achieved and these are measures that are put in place and deal with all of the club's liabilities.
"As a result of our preliminary assessment, we are wholly confident that Rangers will continue as a football club.
"We do not think that liquidation and the closure of the club is a likely outcome at all."
An HMRC spokeswoman refused to comment on the administrators' statement.
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