Darnell Nurse scored short-handed with nine seconds left in the first period to make it 2-0. Mattias Janmark skated around the net and passed across to Nurse, who was left alone in the high slot.
Nurse returned to the lineup after missing three games following an illegal check to the head from Toronto Maple Leafs forward Ryan Reaves on Nov. 16.
“I pushed a little to be in, but with that said it's the brain. With head injuries you’re not going to go out there until you feel 100 percent,” Nurse said. “You want to be able to go out there and do your job and you don’t want to put yourself in a situation where you’re setting yourself back months.
“They did a really good job taking care of it, there was a lot of work that went into it, but I felt very comfortable to go out there and play.”
The Oilers outshot the Rangers 21-9 in the first period.
“We’re leaving our goalies out to dry, in the first period especially,” Rangers center Vincent Trocheck said. “And we have to come out with a lot more urgency and we have to dig deep here and look at ourselves in the mirror before the next game.”
Draisaitl made it 3-0 at 8:54 of the second period, scoring on a 2-on-1 with a pass back from McDavid that caught Quick sliding across his crease. It was Draisaitl’s third consecutive game with a goal.
Bouchard scored on a wrist shot from the high slot that beat Quick glove side to make it 4-0 at 11:58.
Panarin made it 4-1 at 15:02 when he sent a wrist shot from the left dot that bounced up off of Skinner’s pad, onto the shaft of his stick and into the net.