The Gers manager will be able to speak to players who are free agents in the summer of 2013 from next month.
The Glasgow club is prohibited from signing anyone for money until January 2014 due to a 12 month signing ban.
However, they can sign players on pre-contract agreements and register them on September 1 next year if they are available for nothing.
Rangers have been linked with Motherwell winger Jamie Murphy, Ryan Fraser of Aberdeen and St Johnstone midfielder Murray Davidson.
And McCoist is hopeful the full houses the 54-times Scottish champions have been getting in the Irn-Bru Third Division will help the Light Blues boss land players.
He said: "Trying to sell the club to a player isn't ideal. Right now we don't know what league we're going to be in. The way things are currently going we're very hopeful it would be the Second Division.
"But we don't know if there is going to be reconstruction or not.
"Add the fact we can't register a player until September 1 and it's difficult. But as long as it's all legal – which obviously it has to be – I will handle the side of selling the club.
"The fact our average home attendance is in the region of 48,000 would indicate it shouldn't be too difficult to sell home games to people who could be coming.
"I'd still hope Rangers would be enough of a pull to attract good quality players."
McCoist added: "I'm certainly hopeful that the club has enough pull to attract good quality players.
"The fact that Ian Black and Dean Shiels came straight away was a real boost. They were two of the best players in the SPL.
"Hopefully, that's an indication that we can continue to get that type of player. We're looking all over the place."
McCoist revealed he will hold talks with Rangers chief executive Charles Green in the coming days to find out his budget for next term.
He added: "My understanding is that we can sign players on a pre-contract in January as long as they're out of contract in the summer – but we can't register them until September 1.
"It's possible that we could play them as trialists. If I can, I will. We're currently looking at every possibility and eventuality."