McCall was appointed until the end of this season, and he has told the Daily Record that he is keen to remain in his post if he is offered the job on a permanent basis.
McCall said: “Of course I want to carry on as manager. It has been an honour and a privilege to do the job. Now I’ve been in there, I feel there are still good players at the club. There are some good youngsters.
“It’s going to be a big rebuilding job but it’s not out of the realms of possibility that whoever is Rangers manager next season will be looking at promotion. I don’t think there is any doubt about that.”
McCall’s season ended on Sunday, with Rangers falling to a 6-1 aggregate defeat to former club Motherwell in the play-off final.
The two-legged tie proved a bridge too far for McCall and his team, but he has done an impressive job regardless of how his campaign ended.
McCall arrived at Ibrox at a time when there were serious doubts about the ownership of the club, and he revitalised an ailing team to guarantee they secured a play-off place, something that did not look likely before he was appointed.
He may have struggled to overcome Motherwell in the play-offs, but there was a clear difference in quality between the two squads, and they did well to progress to the finals of a play-off system designed to favour the Premiership club.
McCall has suggested that a rebuilding job will have to be undertaken this summer, ahead of a push for promotion next season, and he clearly wants to be the man in charge to oversee this rise to the top flight.