Menaria weaved his magic at the Dr YS Rajasekhara Reddy stadium to return with figures of 10-0-38-5 to help India A dismiss New Zealand A for 216 in 47.2 overs after skipper Chand had won the toss and elected to field.
Dhawal Kulkarni scalped two wickets, while Basant Mohanty and Sandeep Sharma also took one wicket each.
The hosts then returned to overhaul the target with 11.1 overs to spare, riding on individual fifties by Chand (59) and Mandeep (59) and their 89-run third wicket partnership off 103 balls in the middle.
Earlier, Carl Cachopa top-scored for New Zealand A with a 103-ball 80, which was studded with nine boundaries.
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However, the 27-year-old South Africa-born cricketer didn't get much support from the other end as the Kiwis always found the going tough against an inspired Indian bowling attack.
Chasing 217 to win, opener Robin Uthappa could not make use of the life that he got early in his innings and was removed by Mark Gillespie in the fifth over.