The Light Blues clinched the title a number of weeks ago and were presented with the trophy in front of a packed house at Ibrox after Fraser Aird netted the only goal of the game.
When McCoist was asked if he is confident of proving he is the man for Rangers, he said: "I just want the opportunity to do that. I'll be honest, I don't think there will be massive amounts of change for next season."
He added: "With the greatest of respect, we are bringing in free transfers. Before I sound as though I'm criticising the people that we hope to bring in, you are a free transfer for a reason.
"We're not going to get the best youngsters. It ain't going to happen. If people think we are going to go out and sign boys at 22, 23, 24, who have a tremendous future ahead of them, that's not going to happen because they are not going to be free transfers.
"We will have to get a group of players who are going to get us out of the next division, hopefully with the same margin of points but with one or two better performances."
First Division clubs moved on Friday night to break the deadlock surrounding league reconstruction by proposing the formation of an SPL2.
Ten clubs sent their proposal to the Scottish Premier League following a meeting at Hamilton's New Douglas Park.
With fresh uncertainty now cast over Scottish football ahead of next season, McCoist said: "As far as we are concerned, we will be playing in SFL2 next year.
"In an ideal world, we would know where we are going to play. If it's SFL2, that's what we will prepare for. We will get some free transfers in to help the boys for the next attack on that league."
- Sports & Recreation
- Fraser Aird