Dvorak gave Arizona a 1-0 lead at 3:26 of the first period when Ekman-Larsson's shot from the left point banked off goalie Cam Talbot, struck Dvorak and bounced into the net.
It was Arizona's first shot of the game; Edmonton has allowed a goal on the first shot 11 times this season.
Maroon looked to have tied it 1-1 at 11:08 of the third period when Oscar Klembom's shot banked off his head into the net. Coyotes coach Rick Tocchet challenged for goaltender interference and the goal was overturned after review. Maroon appeared to impede Raanta's right arm.
"We felt that was going to count," Oilers coach Todd McLellan said. "When you're on the bench, you're at the will of the officials and it's certainly not black and white, the rule."