Chief executive Craig Mather will head a meeting of the Gers hierarchy tomorrow evening, with the future of former CEO Green top of the agenda following his return to Glasgow and another series of controversial public outbursts.
The coming days are likely to prove crucial in the battle for control at Ibrox, with Blue Knights leader Paul Murray and Scottish businessman Jim McColl calling for an EGM to be held to force through the removal of Mather, Finance Director Brian Stockbridge and board member Bryan Smart.
The Gers hierarchy have just days to either accept the changes or hold a meeting that will see shareholders vote on the proposals that could lead to a major shake-up round the Ibrox top table.
In a joint statement issued today, the Rangers Supporters Trust, Association and Assembly said: "Mr Green has clearly undermined the manager and the team.
"He is also purported to be giving support to a financial claim to be made against the club which we feel represents a conflict of interest for him and the club.
"We strongly urge the Board to terminate Mr Green's consultancy role and make a clear decision to either accept the requisition to make changes to the Board, or confirm the date of the EGM.
"In the event that an EGM is necessary, we will canvass supporters' opinion on the matter, and The Trust will use its vote in accordance with the instructions of the members. At this stage, however, we believe it in order to recommend that all fans who are shareholders to vote, or proxy their votes to support the proposed motion to replace three current board members."
The fans groups are also alarmed at reports that just £10m remains in the club's kitty - despite two season's worth of ticket sales and an IPO which raised £22m last year.
The statement added: "We are confident that fans will support Mr McColl and his colleagues and we can also work with them towards a fan ownership/representation model. Mr McColl has confirmed to us that he remains supportive of fan ownership/representation and will look to explore this further when the club has been stabilised.
"All Rangers fans expect the Board to act decisively on Tuesday, and we we shall continue to keep all fans informed at this testing time."