Reports at the weekend suggested the Ibrox boss owned a share of about about 4.5% after buying into Charles Green's consortium, who purchased the business and assets of Rangers when they were consigned to liquidation in the summer.
McCoist says the reports are premature but admits he is interested in becoming an investor.
"It's jumped the gun a little bit because, at this moment in time, there is nothing at all that's been finalised," he said.
"I'd be loathe to say any more until if and when it happens. It's something I would absolutely be considering."
Top of McCoist's priority list at the moment is ensuring he has as strong a squad as possible in place before a 12-month transfer embargo comes into effect on September 1.
The Light Blues boss has a number of trialists training at Murray Park and is determined to add quality signings to his pool before midnight on Friday.
"I've got a meeting again with Charles today," he added.
"The situation has been made very clear that we need bodies and we need to bring a bit of quality into the team and into the squad.
"That's where we are. In the next three days, we will have to do that.
"In the last week or 10 days, we have lost Alejandro Bedoya, it looks like Maurice Edu is away, Kirk Broadfoot is away, Dorin Goian is away.
"We need to get bodies in and plenty of them as soon as possible.
"We've had four or five trialists in. One or two have impressed, which is great, but we haven't made a final decision on any of them yet," McCoist said.
Broadfoot is the latest player to head for the Ibrox exit door after reaching agreement with the club to terminate his contract.
But McCoist is unaware of interest from Everton in Barrie McKay, after the youngster was linked with a move to Goodison.
"That's news to me. I haven't heard anything about that at all so I couldn't comment on that," McCoist admitted.