The Islanders had a 3-0 lead as the final frame began but the Panthers got scores from T.J. Brennan, Marcel Goc and Mike Santorelli within a 1-minute, 43-second span to tie it up.
New York then regained the lead when Cizikas got a pass from Colin McDonald from behind the net and one-timed a shot past Scott Clemmensen with 7:05 to go.
Evgeni Nabokov turned aside 27 shots to earn the win.
Santorelli added an assist and Clemmensen finished with 21 saves for the Panthers.
Gal Gadot cast as Wonder Woman for 'Batman vs. Superman'
Beyonce flaunts bikini body, Blue Ivy in vacation pics