The new man on the block at Ibrox is threatening legal action against those who are trying to bail out of the debt-ridden Old Firm club
The strongly-worded statement comes on the day that club stalwarts Steven Naismith and Steven Whittaker have said they now consider themselves free agents.
The disputes centre around the creation of a "newco", to which all of Rangers' assets - including player contracts - are being transferred to.
"It is a great pity that certain players have chosen this time to attempt to tear up their contracts and walk away from the club," the businessman said in a statement.
"The club is facing massive challenges in terms of its league status and the last thing the fans want to see is a dispute between the club and players.
"However, it appears that is the route several players are choosing. I can assure those players and clubs who may be interested in signing them that Rangers will seek damages for breach of contract and for inducement to break contracts."
Naismith, who has been with the club since 2007 said that a lack of communication between the players and the new owner concerned him enough to end his five-year association with the Gers.
"The first bit of contact I had was on Thursday when I got an email and then my representatives met him on Friday," he said.
"Part of the reason is that I can't transfer over to a new company when I've never met the person involved with it.
"I've never met any of the investors, I don't know anything about them. There is just far too much uncertainty."
When quizzed on Green's suitability to guide Rangers through their darkest hour, Naismith sounded unconvinced: "Hopefully. I wish him all the best in doing so."