The championship game will be played on July 2 in St. Petersburg.
New Zealand tried to play the ball out of defence but gave it away, and a couple of quick passes from Aleksandr Yerokhin and Poloz allowed Denis Glushakov to run through on goal. The win puts them top of Group A, with Mexico and Portugal - the other two teams in the section - due to face off on Sunday.
It was a game Russian Federation were widely expected to win against a New Zealand team that are Oceania champions but are the lowest-ranked nation in the tournament.
Russian Federation made a rapid start, with Aleksandr Golovin having a drive unconvincingly dealt with by New Zealand goalkeeper Stefan Marinovic, before the hosts were twice denied by goal-line clearances.
Russian Federation have played Portugal in Moscow three times, with all three of those games ending in wins for the home side, who did not concede a goal in any of them.
Adele visits London firefighters after tower block blaze
He said it had been "incredibly emotional working in there", adding: "On Saturday I went in myself and went to the top floor". The community also led a standing ovation and cheered for a fire truck as it drove though towards the north Kensington tower.
Russia's president was in the $750 million new stadium in his native St. Petersburg to see forward Fyodor Smolov's 69th minute goal add to an own goal by New Zealand defender Michael Boxall in the 31st.
The tournament is traditionally used as a warm-up for the following year's World Cup and features the home nation, the winners of six continental tournaments and the reigning FIFA World Cup holders. "If I am right, we are trialling the system right now so it's hard as we are used to another system in the world of football", Chile coach Juan Antonio Pizzi said.
"We achieved a very good result and at times a very good game". A three-player race to meet the rebound off a post saw the sliding Boxall's trailing right arm get the final touch in a bundle of bodies.
Cherchesov's men were too strong for a limited New Zealand side and were unlucky not to take an early lead, Viktor Vasin heading against the post from an Alexander Samedov corner, with Michael McGlinchey clearing off the line.
The 68,000-seat St Petersburg stadium will be a flagship venue at the 2018 World Cup and the home of Russian football powerhouse Zenit St Petersburg, but its decade-long construction marred by corruption allegations and delays has so far caused more disappointment than satisfaction.
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