Murray, a director of oldco Rangers, is one of four men looking to be elected onto the board at the eagerly-awaited AGM at Ibrox this Thursday.
The current five-man board are seeking re-election and as late as last week McCoist, who holds a stake of just under 2.00 per cent in the League One club, revealed he has yet to make up his mind which way to vote.
However, reports in several newspapers claimed he had followed through on a promise to allow the Calderwood Loyal Rangers Supporters Club in East Kilbride, where his late father was a member, to use his vote.
The news was a blow to the current board but Murray, who is joined by former Rangers chairman Malcolm Murray plus allies Scott Murdoch and Alex Wilson in seeking a place on the board, said: "Ally McCoist's decision to proxy his shares to the fans is a fantastic gesture and typical of the man.
"We urge the board and all shareholders to listen to the views of the fans. They are the lifeblood of the club and cannot be ignored."
Speaking last Friday, McCoist, who previously indicated it would be 'committing suicide' if he voted against his employers, said: "I'm not 100 per cent certain what I'm doing yet regarding my vote. Everything's a possibility at the moment.
"Of course I've thought about it but I'm undecided on my decision. My vote will 100 per cent be used. It's really vitally important, the most important AGM in the club's history."