The Oilers, who have the fewest victories in the NHL, appeared poised to win for the second straight night as they dominated the third period. But Jaroslav Halak stood tall in the New York net and prevented what would have been a disappointing loss for the Islanders.
Instead, Cizikas fired a shot past Viktor Fasth to give the Islanders their third win in four games. Colin McDonald, who assisted on the winning goal, and Josh Bailey also scored for New York. Halak made 34 saves.
Ryan Hamilton and Anton Lander had power-play goals for Edmonton, which held a 15-5 shots advantage in the third period. Fasth stopped 25 shots.
The Islanders have won eight straight home games against the Oilers, dating to 1999.
New York took a 2-1 lead with 8:33 left in the second period when defenceman Thomas Hickey's shot from the blue line hit Bailey in flight and fluttered past Fasth for his ninth goal. It was originally credited to Hickey, who hasn't scored a goal in 29 games, dating to the winner on Dec. 2 against Ottawa.
But again Edmonton used its suddenly potent power play to tie it.
After a scrum that landed Bailey in the penalty box, Lander took a pass in the slot from Jordan Eberle and netted his second goal of the season with 3:26 left in the second to make it 2-all. Eberle, the Oilers' leading scorer with 36 points, assisted on both Edmonton goals in a 2-1 win at New Jersey on Monday. He has three goals and four assists in his last six games.
The Oilers quickly took advantage of the NHL's worst penalty-killing team and grabbed a 1-0 lead on Hamilton's first career goal, just 23 seconds into the power play. Hamilton, recalled Tuesday from Oklahoma City of the AHL, tipped in a shot by Nail Yakupov at 10:17. Iiro Pakarinen earned the second assist, his first in the NHL and second career point.
Yakupov scored the game-winning, power-play goal in the Oilers' victory Monday. Edmonton entered Tuesday with the third-worst power play in the league.
The Islanders got even shortly after they failed to convert on their first power play. McDonald, in his second game since being recalled from the AHL last week, scored for the second consecutive game to make it 1-all at 13:20.
McDonald made a short backhand pass in front from the right post to Matt Martin for a shot. Fasth blocked the puck, but McDonald held his ground at the side of the net and was there to chip in the rebound.