The re-named Glasgow club kicked off their new era yesterday with a 2-1 Ramsdens Cup win over Brechin City at Glebe Park but did it with a lot of familiar faces missing.
So far this summer the likes of Steven Naismith, Kyle Lafferty, Allan McGregor and Steven Davis have departed Ibrox after the club fell into liquidation and McCulloch, who scored yesterday’s winner in extra-time, has urged other top senior players to decide against a full exodus.
"We need to try to keep everybody that's in the dressing room," said McCulloch. "Hopefully the manager is allowed to bring in two or three more to help everybody.
"We couldn't even fill the bench today. I definitely think we need bodies in – but hopefully everybody will stay as well.
"It's the size of the club. Not everybody gets the chance to play at as big a club as Rangers are.
"They have been kind enough to me over the years and I've had the success so that's why I chose to stay.
"The amount of people who have come out and said they want to come to Rangers in the Third Division just shows the size of the club and how well it's followed."