New Zealand start their tri-series against the hosts and Bangladesh against the Irish at Malahide late on Sunday night.
"It's not a bad way to start the tour," new Black Caps player Rance said.
"It was a pretty proud moment, cool to pull on the black gear, bowl some overs and have a nice win.
"I'm pretty pleased with how it came out and hope to build on that in the next few days."
Rance warmed up for his first New Zealand trip with some time playing in the north Lancashire League.
"I came over about two weeks ago and had three games in similar conditions to what we have here," he said.
"I've got that match fitness under my belt and hopefully I can carry on that momentum.
"It's been awesome to bounce ideas off different players, even if we do play against them domestically, to be able to sit and talk cricket is pretty special."
He wants to work hard in the coming days and aim to put his hand up for selection in the tri-series.
