Edmonton had 23 blocked shots, including three each by defensemen Brett Kulak, Evan Bouchard, Mattias Ekholm, Ty Emberson, and forwards Frederic and Vasily Podkolzin.
"I think it's really good for just our morale in general, being able to fight one off, being able to battle, grind and win a game in a hard way," Skinner said. "That was a man's game out there, and the way that the guys played, they deserved getting the two points tonight."
The Rangers had 74 shot attempts to 46 for the Oilers.
"If we continue to generate quality scoring chances at the rate at which we are doing, I believe that they are going to go in the net," Rangers coach Mike Sullivan said. "I think our players are too talented. I just think right now it's been a struggle finding the back of the net."
The Oilers will continue their road trip at the New York Islanders on Thursday.
"That's a team that can produce a lot of offense," Nurse said of the Rangers. "So for us to come out and lay down a blank sheet there to kick this road trip off, it's a good start, but we've got a lot of hockey yet to play."
NOTES: Skinner tied Devan Dubnyk and Bill Ranford for the fifth-most shutouts in Oilers history. Tommy Salo is first with 23. … Oilers forward Jack Roslovic made his season debut after signing a one-year contract with Edmonton on Oct. 8. He had no shots on goal in 13:10 of ice time. … Shesterkin has allowed three goals in four starts this season (0.67 goals-against average, .972 save percentage).