Shots on goal after one were 14-13 for the Ducks.
Draisaitl and Rieder had a two-on-one early in the second after killing off the Jones penalty but Draisaitl was denied by Gibson after electing to shoot. Seconds later, Kassian was stopped on a redirect attempt in front of the net.
Draisaitl did convert, however, with 12:35 to go in the second. Some great forechecking by Milan Lucic led to the Oilers fourth goal. Lucic went into the corner and retrieved the puck by force and then centred it. The puck went out to Caleb Jones who ripped a shot and Draisaitl swiped home the rebound. The assist gave Jones his first career two-point night.
"It feels great. There's other things in my game that I could clean up from tonight but getting those two assists (felt good)," Jones began.
"One I just rim in and Connor ends up scoring and the other blocked shot to Leon. Sometimes you get a little puck luck and it's nice to get those tonight."
A skirmish erupted after the goal. The result was two minutes roughing to Brandon Montour and two for roughing plus two for unsportsmanlike for Lucic and a Ducks power play.
Shots on goal after two periods were 17-6 for the Ducks but the Oilers had the lone goal in the middle frame.
In the third, the Oilers shut the door, allowing only eight shots. Talbot was solid when he had to be, his nicest save coming with a great glove grab on Brian Gibbons. Gibbons picked up the rebound at the top of the crease and it was snagged by Talbot's glove.
With just over two minutes to play, Andy Welinski cross-checked Tobias Rieder to the ice giving a late power play to the Oilers. It was the only man advantage the Oilers would get on the night.
Final shot count in the game was 39-24 for Anaheim.
"Overall, it's a huge win. It turns it into a good trip. If you're .500 or better on the road at this time of year you're doing great," said Hitchcock. "We're now in a good trip situation and we could turn it into a great trip in a couple days."