Crocombe, the starting goalkeeper for National League North club Salford City, was called up to the makeshift 11 over fellow newcomer Nik Tzanev.
In the 54th minute Toronto FC forward Tosaint Ricketts volleyed a shot that went past the 24-year-old keeper to mark the only score of the match.
The All Whites debut for Crocombe comes after he made previous appearances for New Zealand at the U20 and 23 level.
At 16 he made his debut for the Buckingham Town senior squad, making 33 appearances and even scored one goal, when he was used as an outfield substitute against Northampton ON Chenecks.
He has also represented Oxford United and Carlisle United, as well as several clubs on loan, making over 100 appearances throughout his senior career.
In 2017 he arrived at his current club, which is owned by five former Manchester United players - Ryan Giggs, Gary Neville, Phil Neville, Paul Scholes and Nicky Butt.
He achieved notoriety last year after he was red-carded for urinating on the field.