The centre back damaged ankle ligaments in the 2-0 friendly win at Brora Rangers and is expected to be sidelined for several weeks.
Perry, who came on as a half-time substitute at Dudgeon Park suffered the injury in a collision with Ryan Watson and was carried from the pitch on a stretcher.
In a statement on their official website, Rangers said the 23-year-old had been 'ruled out for the foreseeable future'.
It added: "At present, the Rangers management are resigned to being without him for weeks rather than days and that's a huge setback for manager Ally McCoist."
The Highlands friendly gave McCoist the chance to run the rule over defender Bilel Mohsni who was representing the third division champions as a trialist.
The former Southend defender impressed the watching backroom staff and McCoist is keen to finalise a deal to take him to Ibrox.
Speaking on Sky Sports News he said: "I was very impressed with him actually. I thought he came in and looked solid with Emilson Cribari at the back and they mopped everything up that came their way.
"With the injury to Ross, we put him back on in the second half and he was very comfortable.
"He's a strong boy, he can handle the physical side of the game and there is certainly a physical aspect to the Scottish game.
"That won't be a problem for him - he will handle that fine."