Zibanejad, who scored at even strength, on the power play and shorthanded, leads the NHL with eight points (four goals, four assists) in two games.
"It's where I started," said Zibanejad, who played his first 281 NHL games for the Senators. "It's where I got my first opportunity to play in the NHL, and I'm really thankful for that. And then to come here and do that, it's going to be a night I'll remember for a long time."
WATCH: [All Rangers vs. Senators highlights]
Pavel Buchnevich had two assists, and Artemi Panarin had a goal and an assist for New York, which has won its first two games. The Rangers were 2-for-3 on the power play.
"Sometimes that line [of Zibanejad, Panarin and Buchnevich] looks like they're playing a video game," New York defenseman Marc Staal said. "They just hit a couple buttons, tape to tape, back door and it looks pretty. It's a huge advantage to have them playing like that, and then having a power play that's scoring like that."