Internationally, he guided Russia to gold, silver, two bronze performances in the 2014, 2015, 2016 and 2017 IIHF World Championships, respectively, and to a gold medal at the 2018 Winter Olympics. Znarok coached the Latvian national team at five IIHF World Championships, two IIHF World U-20 Championships and one IIHF World U-18 Championship.