The Egypt midfielder left Riyadh before the Saudi King Cup of Champions third-place playoff game with Shabab, which Nassr won 3-1.
Following reports suggesting that new manager Walter Zenga is not willing to keep Ghaly next season, Bin Torki fortified the implications.
"I am astonished with Ghaly's behavior. He left without the management's permission and hasn’t told anyone about his exit," the Nassr patron said at a press conference.
"His behavior is unacceptable and I don’t think he will stay with the team.
"We totally backed him in his recent doping problem and then he responded by walking away!"
Ghaly has been recently cleared of taking performance-enhancing drugs in an infamous doping saga which saw him test negative on a second attempt.
Ghaly's contract with Nassr is due to expire in 2012.