Russia tied it 3-3 with two second-period goals in the tournament opener for both teams.
The Predators' three second-period goals came on seven shots.
The teams exchanged second-period goals, and Detroit held a 3-2 lead going into the third period.
Peter Forsberg scored two second-period goals in game three to break a 1-1 tie.
The Red Wings built a big lead with four second-period goals, then held off a late rally.
Fleury had tied it at 2-2 with his second-period goal.
Joe Thornton extended the lead to 2-0 with a second-period goal.
San Jose's attack came quick and hard with four second-period goals.
Still, the Lightning managed its fastest second-period goal in franchise history, 12 seconds, to draw even.
Schneider was not around for four second-period goals scored by his teammates.