The Rangers chief executive has previously hit out at proposals put forward by the SFA, SPL and SFL that would see a 12-12-18 structure come into place from the start of next season.
The plans have drawn widespread criticism from across the game, with fans disillusioned that their wishes for a larger top flight have not been taken into consideration.
Green said: "The recent widespread debate on the reconstruction of Scottish football has been welcome.
"I am glad that Ally McCoist and myself have contributed and helped stimulate discussion rather than watch everyone sleepwalk into a solution that very few, if any, football fans want.
"I am fully aware that the interests of fans and the duties of directors of football clubs, who have to balance books, do not always align.
"However, it seems absurd that when most fans are so implacably opposed to the 12-12-18 model their views are being cast aside.
"To be absolutely clear, it would have been easy for me, on behalf of Rangers, to support this model. There is no model on the table that offers our club a potentially quicker route back to the highest echelons of Scottish football.
"However, I believe that while all clubs have to look out for their own interests, the greater good of Scottish football cannot be ignored."
Green also told the official Rangers website: "I would like to set out what Rangers believes to be a workable way forward that may appeal to fans of all clubs.
"First, we think any reconstruction should be implemented not next season but the following season so that every club knows what it is playing for at the start of the season.
"Secondly, we believe that further consideration should be given to a 14-14-14 model, which can be constructed in a way that ensures there is no loss of games but will deliver greater competition through the leagues, particularly with the implementation of play-offs.
"I cannot understand why this model has been so readily discounted when fans are clearly looking for larger leagues. I know there are various opinions regarding splits in such leagues but they cannot be any more complicated than what is now being proposed.
"Finally, I am fully aware of the unique challenges a club the size of Rangers face in Scotland. That is why we must explore all options for the long-term, including playing out-with Scotland.
"In the meantime, we hope that the powers that be in Scottish football pay heed to the views of supporters."