Green believes all contracts should transfer to his newco under employment law, despite the Scottish PFA previously claiming the squad are free to walk away.
"We've been speaking to the PFA though and to individual agents and, as the players come back next week, Alistair and I will be sitting down with them and explaining where we are," Green said.
Players are due to start reporting back to Murray Park for fitness training on June 28 and the Yorkshireman wants to hold talks with them, having already had discussions with the players' union and some agents.
Green told RangersTV: "From the moment HMRC announced they wouldn't support the CVA, we contacted the staff and had a meeting with them and the administrator made them aware.
"We, as a newco, started having discussions and, as far as we are concerned, all the contracts transferred under TUPE. Of course, the difficulty is some of the players haven't been around and the likes of [Carlos] Bocanegra have been away on international duty with the USA team.
"They've also been having holidays and taking their families away so it has been more difficult with the playing staff than the non-playing staff."
Green has assured disillusioned fans that his consortium see Rangers as a long-term investment, rather than an opportunity to make a "fast buck".
The former Sheffield United chief executive completed his purchase of the business and assets of Rangers as a newco last week, after failure to secure a Company Voluntary Arrangement (CVA) consigned the club to liquidation.
Green's Rangers still face a number of issues in the coming weeks, with a row over Scottish Football Association sanctions yet to be resolved, and a vote to determine whether the new company will be granted entry to the Scottish Premier League set to take place on July 4.