Fyodor Smolov both began and ended a counter-attack which put the result beyond doubt in the second half, with Russian Federation now turning their attention to a game against Portugal on Thursday.
Russia, a record low 63rd in FIFA's world positions, encounter Portugal on Wednesday and also New Zealand play Mexico the same day.
When the goal came, it had an ugly finish after two pretty pieces of individual skill once the All-Whites defense needlessly lost the ball. It came off some lovely passing from the hosts, with Glushakov lifting the ball over the goalkeeper and off the right post while a insane scramble at that post took place.
Scoring chances came early for Russian Federation, playing with confidence and unexpected flair, a powerful header by defender Viktor Vasin bouncing off the inside of the post before being cleared by New Zealand's Michael McGlinchey.
Ten minutes before kickoff, both teams lined up in front of the main stand to listen speeches by Putin and FIFA President Gianni Infantino.
ST. PETERSBURG, Russia (AP) - What Vladimir Putin wants, Vladimir Putin tends to get.
Find out what time Russian Federation vs Portugal gets underway where you are in the world.