The midfielder, on loan at Alloa Athletic, came on in the second half of the 5-2 victory against Azerbaijan at Rugby Park.
This was a significant step up for Glasgow, who had only previously played at under-17 level for both Scotland and Portugal.
He has scored four goals in 12 appearances for Alloa Athletic this season.
He has also played four times for Rangers B in the KDM Evolution Trophy group stage.
Earlier this year, Glasgow signed his first professional contract with Rangers before being loaned to Alloa Athletic for game time.