Murray told shareholders at Ibrox: "I do wish not to do this for the rest of my life. It has been an honour to be chairman, but this is my 19th agm, I've never missed a board meeting, rarely miss home games and I have a huge business to run.
"I would only consider selling the club to someone who could maintain or increase the level of support that I have given the club over my period of 20 years.
"I have no wish for a quick exit and I don't think you can honestly say that my behaviour over the last couple of months is of a man who is looking for an exit strategy.
"Walter has given me and the rest of the board great enthusiasm for the team and I have no wish to go next week. I reiterate that I would only sell to someone I believe genuinely has the best intentions - someone who would not look to strip out the club, take out the assets, sell the land, sell the best players, do a sale or lease-back with the ground or sell the training ground."