"The first two sessions were indifferent for us, but it was about getting the guys up to speed and making them aware they've got a Test next week," Thorpe told Sky Sports.
"It's the challenge of a short Test tour.
"A few of them will be disappointed they didn't spend longer at the crease, but Liam Livingstone played very well."
Thorpe confirmed Livingstone is still a long shot to make his Test debut in Auckland, or Christchurch.
"He's not in the potential starting XI," he added.
"But he's shown the head coach what he's capable of, and that's what you want.
"His innings is also a kick up the backside for the other players."
The teams will play a second practice match at Seddon Park, on Friday and Saturday, this time with a red ball and more orthodox playing hours.
The match is expected to feature England allrounder Ben Stokes, who missed the pink ball hit-out with a back niggle.