With captain Pat Cummins and Josh Hazlewood injured, and Mitchell Starc ruled out for personal reasons, spinner Zampa is the last senior bowler left in a much-depleted squad for the ODI tournament in Pakistan and the United Arab Emirates.
Zampa could not recall the last time the world champions went to a major ICC tournament without at least one of the three quicks steaming in, and suggested it was quite an adjustment.
"Most ICC events that we've played over the last - almost decade - it's been a very similar bowling attack," said the 32-year-old legspinner.
"So to not have those guys here, it's obviously a big loss, and we know that.
"But it's obviously a great opportunity, too.
"If we're playing our roles and contributing, I think that'll be important throughout.
"And then hopefully a match-winner somewhere along the way pulls it off for us."
Australia's pace bowling will feature Sean Abbott and the inexperienced trio of Ben Dwarshuis, Spencer Johnson and Nathan Ellis. All-rounder Aaron Hardie can also contribute seam bowling.
Australia open their tournament against former ODI world champions and Ashes rivals England in Lahore on Saturday, a match-up Zampa greeted with relish.
"Nice to get them first up. It's always nice to beat England, one of those teams that you definitely get up a little bit more for," he said.