And the first-team coach is hoping the draw will prove to be a lucky cup omen for the Ibrox side.
First-half goals from Mark Hateley and Ally McCoist in the 1992 cup final clinched the double for the Light Blues.
And Durrant was in the starting XI against Alex MacDonald's men who set up a nervy finish when striker Andy Smith pulled a goal back with 10 minutes remaining at Hampden.
He said: "It was the first time we had won the tournament in a few years and back then they were stuffy and hard to beat.
"But that win capped a fantastic season for us and it was one of those days you don't forget.
"So I have great memories against Airdrie, we won the league at Broomfield (in 1993) albeit I was on the bench that day. I was also fortunate enough to be part of the youth team when we won the Youth Cup there as well."
Rangers hammered the Diamonds 6-0 in August, but Durrant will read the riot act if there is any sign of complacency kicking in among the players.
But he is banking on the players taking their current form in League One into the Scottish Cup this season after going out at the fifth round stage to Dundee United in 2012/13.
Durrant added: "We know we have been poor in the cups so this is a chance to rectify it.
"We will come up against a hard-working Airdrie side but we want to go out and win that game and and put in a good performance for our fans."