A consortium led by Green bought Rangers' assets and business following the club's liquidation on June 14, 2012, but after a turbulent time at the helm he stood down in August 2013 after selling his shareholding to current board member Sandy Easdale.
Many fans of the club believe the Yorkshireman is still having an input into the day-to-day running of the club but King, in an exclusive interview with Sky Sports News, claimed he was unaware of any involvement.
"I really can't say if he is or not but what is fair to say is there is a guiding hand behind the club who is presently not sitting on the board," he said.
"There are powers behind the throne who would prefer someone like myself, and other like-minded individuals, not be part of the future funding of the club."
And King, who is keen to head a fans-led buy-out of the Scottish League One side, insists former owner Craig Whyte is not part of the background set-up at Ibrox.
Whyte bought the club for £1 from former owner Sir David Murray in May 2011 but after a series of financial irregularities, culminating in a withheld payment of £9m PAYE and income tax, he was declared unfit to hold a position in football and banned for life by the SFA in April 2012.
"I believe Craig Whyte is exerting no influence at the present time and and I am confident he will not feature in the club going forward," he said.
King, who has agreed to meet Rangers chairman David Somers in the next two weeks following a public spat between himself and the current board, admits he was shocked by the tone of the statement summoning him to the showdown talks.
"I was obviously a bit surprised. This is not the type of statement I would have expected from a public company. I thought this would have been kept private," he said.
"I have already replied to the chairman and I am very happy to meet with them on my upcoming trip and to talk about the financial crisis at Ibrox. I'd be delighted to meet them.
"When I met Sandy Easdale last November and made my initial offers to the club I made it very clear to him at that time that I was open to all communication and that I'd be happy to engage with them at any time.
"My real aim is to get better transparency out of the club. First prize for me would be not to have to go the step of setting up a fund for season tickets.
"It would be for the board to belatedly understand it is unwise to approach fans for season ticket money when it is understood there's a financial crisis at the club and the board is not willing to be transparent to the fans as to the nature and depth of that crisis.
"What I am really saying to the fans is that, having been through the situation with Craig Whyte, they are putting their hands in their pockets and lending the club for free without some understanding of how that money is going to be spent.
"With Rangers fans they know it is right to hold the club and the board to account but they don't want to be seen letting the team down and |I think there is a sense of loyalty to the team that we should buy our season tickets.
"I am doing the same and saying 'come on guys enough is enough'. We have already gone through a situation over the last couple of years that, completely and totally due to a lack of transparency and accountability by the board, Rangers ended up in administration.
"We are just saying to the fans now let's not allow that to happen again. We cannot afford the club to slip down those rungs again."
Watch Rangers take on Albion Rovers for a place in the Scottish Cup semi-finals this Sunday from 3.30pm live on Sky Sports 1