Derrick Pouliot and Hunter Shinkaruk also scored for the WHL, which lost 3-2 in its first game against Russia on Wednesday.
Kirill Voronin scored just over a minute into the game for Russia and Igor Rudenkov made it 2-0 only four minutes later.
But that's where Russia's offence stalled, with goals by Chase and Pouliot tying the game in the second period before the WHL pulled ahead in the third.
Tristan Jarry needed to make just 15 saves in net for the WHL. Igor Shestyorkin was far busier for Russia with 38 stops.
The win helped the WHL salvage a series split for the Canadian Hockey League against the Russians.
Russia lost its first two games of the series to the Quebec Major Junior Hockey League before winning two games against the Ontario Hockey League.