Nugent-Hopkins gave Edmonton a 1-0 lead with a power-play goal at 4:37 of the first period.
Ryan made it 2-0 at 16:41, winning a battle to the puck in the slot with Coyotes defenseman Juuso Valimaki before deking from his forehand to his backhand past Ingram.
"We have a high-powered offense … but there's not many games where you're going to score eight goals," Ryan said. "It doesn't happen. I liked that we played a full 60 minutes, especially when we were up. We didn't let our foot off the gas. We stepped on it and kept playing.
"We didn't give up too much. We have no trouble scoring goals, we've had issues limiting them."
Draisaitl pushed it to 3-0 at 8:14 of the second period, scoring with a one-timer from below the right circle on the power play.
Arizona was 3-for-5 on the penalty kill and is 16-for-27 during its six-game losing streak.
"It's another night where it's too many penalties, and that cost us the game, especially with how much talent they have," Coyotes forward Lawson Crouse said. "From there on it was just one after the other after the other.
"We just let them control the pace of the game, and that's ultimately what caused the final score. We're going to learn from it, but move on."