The club was hit with the sanction and a hefty fine on Monday after they entered into administration earlier this year.
Strathclyde Police have now been called in to investigate claims that the panel members, who are supposed to remain anonymous, have been subjected to threats.
"We are deeply concerned that the safety and security of Judicial Panel members appointed to a recent tribunal has been compromised by a wholly irresponsible betrayal of confidential information," read an SFA statement.
"The Judicial Panel consists of volunteers from across the spectrum of sport and business in Scotland. They are appointed on the basis of anonymity yet all three panel members have reported intrusion into their personal and work lives, including abusive and threatening communication.
"This has been extended to directors of the Scottish FA, whose private details have been published on internet sites and who have, themselves, been victims of abusive communication.
"This culminated tonight in a visit by Strathclyde Police, who are taking seriously the threats made towards the individuals involved. We are thankful for their advice and support in these matters."
Former owner Craig Whyte was also given a life ban from Scottish football on Monday as part of the same ruling.