Mr Richard Keen QC – described on the club's official website as "one of the leading legal brains in the UK" – has been hired to represent the Ibrox side.
Administration-hit Rangers were fined £160,000 and handed a 12-month transfer embargo on players over the age of 17 by an SFA judicial panel last month.
They were found guilty of five charges in relation to their financial affairs and appointment of Craig Whyte as chairman.
Rangers received the ban and the bulk of their fine mainly because of a disrepute charge borne from their non-payment of more than £13million in taxes since Whyte took over Sir David Murray's shareholding in May last year.
Whyte, who made no representation at the three-day hearing, was given a lifetime ban from Scottish football and fined £200,000 but has told the SFA the punishment will have no impact on his life.
The SFA also published the judicial panel's rationale for their punishment in a lengthy document last Friday.
The appeal panel will be chaired by Lord Carloway with Spartans chairman Craig Graham and former Partick Thistle chairman Allan Cowan also sitting at the hearing.
Meanwhile, Graeme Souness has distanced himself from Charles Green's consortium but urged the Yorkshire businessman to "take care of" and "love" Rangers.
The ex-Rangers player-manager's name was mentioned on Sunday when former Sheffield United chief executive Green spoke to the media.
Green aims to take Rangers out of administration through a Company Voluntary Arrangement by early July with his consortium, of which little is known, pledging £8.5m for creditors.
Souness would have returned to Govan if his friend, Sale Sharks owner Brian Kennedy, and the Blue Knights had been successful in their bid to buy the club but he will have no involvement with Green.
"I was very happy to get involved with someone I knew the strength of and understood where it was going. Anything other than that, it just wouldn't be for me," he said.
"Glasgow Rangers is a unique football club and like any other supporter, I am deeply concerned with where it's going and what is going to happen to it.
"They have to take care of it, love it and manage it to the best of their ability and hopefully leave it in a better position when they do go, than how they found it."