The talented left-hander crafted an unbeaten 64 from 43 balls, saving Australia from trouble when she arrived at the crease with the hosts reeling at 3-44.
But Litchfield, 21, batted flawlessly for the second T20 fifty of her career to help inflict New Zealand with a record-equalling eighth-straight T20 defeat.
Australia went past the White Ferns' 7-143 with eight balls to spare to go 1-0 up in the three-match series.
But it wasn't a perfect night for Australia, who lost star allrounder Ash Gardner to a bizarre injury in the warm-up.
The reigning Belinda Clark award winner was ruled out of Thursday night's match after colliding with teammate Georgia Wareham when throwing around a vortex.
Ash Gardner is out due to concussion protocols...— 7Cricket (@7Cricket) After this head clash with Georgia Wareham in a warm up game 😮#AUSvNZ pic.twitter.com/fN9tNWiJocSeptember 19, 2024
Gardner copped a hit to the jaw during the warm-up game and was placed in concussion protocols given she has a history of head knocks.
Fellow allrounder Heather Graham received the late call-up to replace Gardner, with Australia coach Shelley Nitschke calling the incident "hectic".
"We walked out and there's something happening in warm up and and then Ash was on the ground, and unfortunately she was ruled out of the game," Nitschke told the Seven Network.
"She's good. It's just a precaution.
"She's in concussion protocols at the moment and given we've got a fair bit of cricket ahead of us we ruled her out of the game.
"She's had a test and she passed, but you've got to stay in those protocols for a certain amount of time."
New Zealand also suffered a blow of their own with captain Sophie Devine not available due to an ankle injury, with Suzie Bates named skipper in her absence.
Tayla Vlaeminck, the first wicket-taker of the match, in action at Great Barrier Reef Arena. (Jono Searle/AAP PHOTOS)
The White Ferns struggled to get going after electing to bat first as No.5 Maddy Green top-scored with 35.
All six of Australia's bowlers - Wareham, Annabel Sutherland, Sophie Molineux, Heather Graham, Megan Schutt, Tayla Vlaeminck - took a wicket each.
Meanwhile, powerful Australian batter Grace Harris has been ruled out of the  series after straining her right calf at training this week.
Australia expect her to be fit and available for next month's T20 World Cup in the UAE.
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