Warburton's men completed the journey that McCoist had started, by leading the Light Blues to the Scottish Championship title on Tuesday.
The Gers wrapped up the Scottish Championship title on Tuesday after beating Dumbarton 1-0 so can now officially start making plans for their first season back in the top flight.
And while Warburton finished the job by securing promotion to the Scottish Premiership, many supporters would have been remembering the role that McCoist played during his time as manager at Ibrox, helping the Light Blues win the Third Division and League One titles before he left the club in 2014.
And while Warburton admitted that it is not his decision whether to invite McCoist along to celebrate the club's achievement or not, he did suggest that he would be happy for the team's record goalscorer to be there.
"I've had a text message from Ally in the past but never met him. He has legendary status at the club - quite rightly - but I've never met him," he told the Record.
"The decision to invite him would come from above. I've got no problem at all with that but it's people who know Ally and have been at the club far longer than me who will make those type of calls.
"I have huge respect for his career and what he has achieved. If that decision is made by the powers that be from above then I've got no issue whatsoever with that."
Like Lee Wallace and the other players that remained with the club when they were demoted from the top flight to bottom tier, McCoist's presence was hugely important to the team as they strived to get to the position where they currently are.
Although his time as manager ended in a disappointing manner, he laid some of the foundations that has allowed Warburton to do such an excellent job this season, so it would arguably only be right for him to attend any celebrations that take place.