New Jersey goaltender Martin Brodeur, meanwhile, sat out a season opener for the first time in 19 years.
Fleury recorded the 24th shutout of his career and equaled his entire total for the lockout-shortened 2012-13 season.
Cory Schneider got the start in goal for the Devils and allowed the three goals on 21 shots.
Brodeur, 41, has been with the Devils since the 1991-92 campaign. He reportedly will get the start on Friday when New Jersey plays its home opener against the New York Islanders.