A statement issued on behalf of the Rangers Supporters Association, Rangers Supporters Assembly and the Rangers Supporters Trust demanded talks and called for answers over the delayed AGM.
It comes less than a week after the high-profile resignations from the club of Rangers chief executive Craig Mather and non-executive director Bryan Smart.
Prior to their departure, a group of shareholders seeking changes to the Rangers board were successful at the Court of Session in forcing the club to postpone its annual general meeting.
The fans' statement said: "The events of the past week have caused further anxiety among Rangers fans and we now call upon the club and their advisers to clarify a few matters as quickly as possible.
"The next few weeks are a critical period for us all and, after what we've been through, we need some measure of reassurance that there will be stability soon.
"The delay resulting from the Court of Session ruling last Monday followed by the resignations of Craig Mather and Bryan Smart leaves the current Board of Directors extremely vulnerable.
"Whilst we welcome the words of reassurance that the club's finances are stable and operations will continue as normal, we feel it is imperative that the AGM is convened as a matter of urgency."
The statement adds that given the "level of concern among fans regarding the ownership and finances," it was important that the identities of key individuals behind ownership factions in the club be made known."
The fans' groups add; "It is vitally important that the individuals that are behind both Blue Pitch Holdings and Margarita Holdings are made known to remove any doubt that there are connections to either Craig Whyte, Imran Ahmed or Charles Green.
"We call upon the Easdale brothers to clarify their position going forward.
"They are now in a prominent position both in terms of their shareholding and influence on the board. The club has adopted a very defensive position recently in efforts to rebuff allegations and clarify misinformation. Now is the time to take a positive stance and provide the fans with clarity and factual information we request and to take the lead in shaping the way forward."