Green believes he has reached broad agreement with the SFA and Scottish Football League but has still to sort issues out with the
Green's Sevco Scotland company needs to secure the transfer of
Sevco will have to accept a 12-month transfer embargo handed to
Green told Rangers TV: "We are making good progress. I spoke to the chief executive of the SFA,
"I have also just spoken to (SPL chief executive)
"I'm really hopeful now that within the next 24 hours we can have this thing signed and sealed and Alastair can start loading his players on a team coach to go up and try to win a match on Sunday.
"Most of the things are now clear to all parties.
"As far as I am concerned now we have no outstanding issues with the SFA. It's now purely process and documentation.
"We have no issues with the football league and just some minor points to resolve with the SPL and I'm hopeful we can to that today."
Discussions have been ongoing between Sevco and the three football authorities, as well as Rangers administrators, since the newco club was consigned to the Third Division.
The SFA previously announced that Sevco had accepted the delayed transfer ban and, although the club called that statement premature, it looks like McCoist will have five weeks to add to his squad before being unable to sign another player until January 2014.
Former Hearts pair Craig Beattie and Ian Black could be the first to arrive after both trained at Murray Park.
Former Celtic striker Beattie joined in with the first team while Black worked with the physio as he continues his recovery from hernia surgery.
Other contentious points between the parties involved in membership discussions include television contracts with the SPL bidding for the SFL rights in an attempt to safeguard its own broadcasting deals.
McCoist has also hit out at the possibility of Rangers being stripped of SPL titles as part of an ongoing investigation into alleged undisclosed payments to players since the competition began in 1998.
Meanwhile, Green has reiterated that he has no intention of selling a majority stake in the club to anyone after Brian Kennedy announced he had made a £5.6 million ($8.51 million) bid for a 51 per cent shareholding.
Green said: "It's really frustrating. It seems every two weeks we get someone who is going to make an offer for the club. Yesterday it was Brian, last week it was Bomber Brown a couple of weeks before that it was Walter (Smith) and it's just a big distraction.
"I'm sure it's just as disruptive for the fans as well.
"The real focus is to get Ally and his team out on the pitch and to deal with the challenges with the SFA."
Green added: "This is a big club and there is room for other investors. They can be fans, they can be individuals.
"I don't believe that anyone should own this club entirely or to be able to control it.
"That's why all of the investors we have at the moment have small shareholdings and when we do the next fund raising those shareholders will be diluted even further."
The SFL confirmed that the club's Scottish Communities League Cup first-round tie against East Fife - its first home game of the season - would take place at Ibrox on Tuesday, 7 August at 7.45pm (local time).
Two goals on the stroke of half-time from Celia Okoyino Da Mbabi helped Germany ease past Scotland 3-0 in the Women's International Challenge Match at Essen.