The Light Blues' story has attracted interest from around the world, with foreign media at press conferences and matches this season as the side begin their trek back to the top.
And McCoist hopes such exposure can boost his chances of selling the club to potential signing targets.
A transfer embargo means Rangers must wait until September 1 before they can register free agents – and January 2014 before buying players – but can negotiate pre- contract agreements this month.
McCoist told the club's website: "We've got a massive list of players from all over the world which we are looking over at the moment.
"We're keeping on top of the SPL players because we'd be crazy not to, but we're looking far outwith that as well.
"We are doing our groundwork early and we've got to do that. We can't register players until September, but we've got to continue to scout."
He added: "We've had camera crews and journalists here from all over the world and what is happening here has very much become a global story.
"I don't think that has done us any harm in the respect of trying to get players in here because we are very much at the forefront of people's news and views.
"That has shown with one or two agents we are just touching base with to keep in touch with their players and there has certainly been a keenness from them to come."
Meanwhile, chief executive Charles Green has reiterated his mission to pursue former players he believes were in breach of contract when they refused to transfer to his newco in the summer.
Rangers are seeking compensation after Allan McGregor, Kyle Lafferty, Jamie Ness, Steven Naismith, Steven Whittaker and Sone Aluko quit.
A meeting took place on Monday at Hampden to discuss jurisdiction on the case and Green says he was encouraged.
He told RangersTV: "It is still my position that these players breached their contracts and we're going to pursue them."
In a statement, the lawyer representing the majority of the players, Margaret Gribbon, of Bridge Litigation, said: "It remains our firm legal view that the breach of contract claims against the players are without legal merit.
"The proceedings before the SFA are, and should remain, confidential, otherwise the integrity of the arbitration panel and the entire process risks being undermined."