The Windies were heading for an embarrassing defeat when they were spun out for 115 in 33.4 overs after being 31 for no loss at one stage
Left-arm spinner Nikita Miller replaced Sunil Narine for the prestigious event which runs from February 14 to March 29 in Australia and New Zealand
Sunil Narine withdrew from the World Cup earlier this week, saying he required more time to be able to bowl confidently with his new action.
Talking about West Indies' chances in the ODI series, tied at 1-1 after they gifted the win to India in Delhi, team manager Richie Richardson said the "boys" were in a positive frame of mind.
Kirk Edwards and Dwayne Bravo both notched centuries as the West Indies flayed New Zealand's attack to reach 363 for four, before Nikita Miller dominated with the ball to skittle the Black Caps for 160.
Chris Gayle was sidelined following a hamstring injury sustained during the tour of India last month. Kirk Edwards has been named as replacement in the 15-man squad.
Chasing that target on a pitch that was aiding spinners was never really in question, and, in the end, the Indians sank to a 162-run loss an hour after tea, Manprit Juneja's battling 70 well overshadowed by the West Indian spinners led by Nikita Miller, who had astounding returns of 5 for 40 from 36.4 overs.
West Indies A spinners Veerasammy Permaul and Nikita Miller bundled India A batsmen out for 245 in their first innings while Kraigg Brathwaite and Kieran Powell ensured that the hosts remain under the pump going into the last day of the first unofficial Test.