The Scottish League One outfit are in the quarter-finals of the cup competition where they take on League Two Albion Rovers at home which gives them a great chance of moving into the semi-final.
"That was some achievement to get to the UEFA Cup Final with some of the teams that were in it and the amount of games we had to play," said McCulloch who came on in the 80th minute of the 2-0 defeat to Zenit.
"For this one, we are in a different place and I don't see why it wouldn't be up there.
"It would mean the world to the supporters, of course it would.
"It's a chance as players - and it would mean the world to us and the management - to give something back to the fans for their support.
"Not just in general but since administration their support has been phenomenal. It's a chance to win the Scottish Cup and that's all.
"First and foremost is the league and anything else on top of that is a bonus."
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