Rangers have agreed a deal to sell Ibrox Stadium naming rights to sports retailer Sports Direct.
Sports Direct, owned by Mike Ashley, are also the Irn-Bru Division Three outfit's official merchandising supplier.
Ashley, who owns Premier League club Newcastle United, is also a major shareholder at Rangers.
"We have now decided that Sports Direct will be the partner," Green said on STV.
"We are now into the stage where we are doing some layouts, some pictorials of how it might look and we'll stick those on the website shortly so the fans can see what's being proposed.
"We have had good engagement from the fans on this. I think it was always an issue for fans but I think the fans accept now that this is something that we have to do.
"Almost all of the big stadia have been named now."