Rangers manager Ally McCoist has urged fans to give whoever is named preferred bidder to take over the club a fair chance.
Supporters have made it clear they have reservations over American tycoon Bill Miller, whose plans for the club are likely to involve a 'newco' scenario.
Sale Sharks owner Brian Kennedy and former Ibrox director Paul Murray's Blue Knights consortium have also submitted an offer with administrators Duff and Phelps.
Speaking after Wednesday's emphatic 5-0 win over Dundee United in the Clydesdale Bank Premier League, McCoist said: "I think everybody has got to be given a chance, whether it's Bill Miller or whoever it may be.
"We would all be wrong to sit and be judge and jury immediately before anything could happen.
"I don't think we are in a position other than we have to be supportive of somebody that will hopefully come in and take the club forward.
"We've got to be supportive of that person or persons.
"People will have their own opinions on things and ideas of who they want.
"But, from within the club, we just want somebody who will come in and give us a little bit of stability again and hopefully take the club forward.
"If we have to go a couple of steps back but can take the club forward then so be it. That's certainly a better proposition than what could be."
McCoist has had a number of conversations with Miller by telephone and was asked whether he believes the tycoon has the best interests of Rangers at heart.
He said: "I've spoken to him and it's not ideal because I know Bill would rather I was next to him and looking across the table and so would I.
"But he is obviously across in America and that's not possible.
"But every conversation I've had with Bill - and indeed I've met his representatives - have all been absolutely positive.
"They have asked the right questions and I would like to think I've asked the right questions back."
However, McCoist admits he can also see where the fans are coming from with their concerns over a potential new owner in the midst of a turbulent period in the club's history.
He added: "I can understand the fans' concerns about everything. Of course I do.
"The fans are well within their rights to have concerns about anybody who is going to come in and take over the club.
"But all I would ask for is for the fans to give whoever gets preferred bidder status a chance.
"The fans have been wonderful and they have shown tremendous unity and they will hopefully give whoever gets preferred bidder status a chance. I believe they deserve that."
McCoist said he believed both bids involved a newco situation but not liquidation.
Kennedy and Murray - who were both at Wednesday's game - subsequently released a statement stressing their offer was conditional on a Company Voluntary Arrangement being agreed.
McCoist said: "Just to put the record straight on that, what I said yesterday I would have to stand by because I was told that was the case.
"I wasn't giving anybody any other information other than what I was told. If they have come out and denied that, that's absolutely fine.
"Certainly, I wasn't misleading anybody, I was only passing on information I was told."
On the naming of a preferred bidder, McCoist added: "I don't have any other update. I'm hopeful something can happen in the foreseeable future.
"I know the administrators have been talking to Brian Kennedy and they have had continued conversations with Bill Miller.
"I remain hopeful but don't have any other information for you."
A double from Sone Aluko and goals from Steven Whittaker, Jamie Ness and Alejandro Bedoya allowed Rangers to seal second spot in the SPL and bounce back from Sunday's Old Firm derby defeat.
McCoist said: "To a man, they gave everybody a real tonic after the disappointment of the weekend. It was fantastic."
United boss Peter Houston said: "It wasn't a frustrating night, it was an embarrassing night with the first-half performance.
"That wasn't Dundee United that was playing out there tonight. I don't know what happened with regards to the start. After 17 minutes, the game is over."