Rangers' administrators have received "several expressions of interest from parties not connected to the club" since taking over the running of the business.
Paul Clark, of administrators Duff and Phelps, made the announcement during a press conference at the club's Ibrox stadium.
The Glasgow-based club appointed Duff and Phelps after a petition was lodged by HM Revenue and Customs (HMRC) at the Court of Session in Edinburgh to have one appointed for them.
Rangers FC was forced into administration over an unpaid tax bill of £9 million accrued since Craig Whyte's takeover last May.
Mr Clark said: "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."
The club was handed an automatic 10-point deduction by the Scottish Premier League (SPL) because of the administration move. Rangers, now 14 points behind SPL leaders Celtic as a result of the decision, are also awaiting the verdict of a tax tribunal which could cost it £75 million.
Mr Clark said he had spoken to team manager Ally McCoist and his squad 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."
Former Rangers chairman Alastair Johnston wants the takeover of the club last May to be investigated. He said to the BBC: "I have today written to the Crown office asking for an investigation into the background surrounding the acquisition of Rangers Football Club by Craig Whyte, and in particular whether there is evidence of fraud."
A Strathclyde Police spokesman said: "We can confirm that we have been passed information regarding the ongoing situation at Rangers Football Club. This is currently being examined. It would be inappropriate to comment further."