The former chief executive is back as a paid consultant, and earlier this week he told Sky Sports News the club was a mess.
He also said manager Ally McCoist would have to win a league and cup double this season to justify his position but it would appear that fans are more concerned about the fate of Mr Green.
Supporters were given a chance to quiz chief executive Craig Mather at an Ibrox summit on Thursday night where McCoist was also present.
Fans were demanding to know the remit of Green's consultancy post and details of the money he is being paid. Mather said it had been a constructive meeting.
"I think it went very well actually," he told Sky Sports News. "When there are emotions involved everybody airs their view. But it was a positive meeting, the fans got a lot out of it and I got a lot out if it. We had a forthright exchange of views."
Chris Graham, of the Rangers Standard, said: "There is clearly a great deal of anger over his (Green's) reappointment and the board came under a lot of pressure to explain why it came about. I have to say, we were given no real answers.
"No one seemed to want to accept responsibility for voting for his return as a consultant.
"They were asked what they were going to do about it and why they don't just sack him. Eventually Craig Mather said he would bring the next board meeting forward and hold it in the next seven days to specifically deal with the issues surrounding Green.
"This was met with a rousing response. It was made clear that Rangers supporters don't want him here and they have a lot of respect for Ally McCoist."
McCoist added: "The supporters were brilliant, they were fantastic and hopefully they got the answers to most of their questions."
The Green camp, however, are showing no sign of backing down and a spokesman has mounted a vigorous defence of their position.
"Charles Green pleads guilty to the following crimes - saving the club from Craig Whyte and now trying to prevent it from falling into the hands of men who haven't invested a penny," he said.
"Talk is cheap as Paul Murray and Frank Blin have repeatedly proved. Action costs more, more than the £2.80 invested by billionaire Jim McColl.
"As regards Mr Mather it is clear he is confused and intimidated by the fans' robust actions. Perhaps he should return to a much gentler business atmosphere.
"As for calling a board meeting to discuss Charles, perhaps he should ask his fellow board members before pushing the panic button. Glasgow is a place for big boys not frightened wee laddies."