Vatanen, who was in awe of Selanne when he first met his fellow Finn, completed a neat storyline when he scored in the sixth round of the shootout to give Anaheim a 5-4 win against the Winnipeg Jets at Honda Center on Sunday.
Vatanen beat Jets goalie Ondrej Pavelec with a wrist shot to bookend a night that started with the Ducks retiring Selanne's No. 8 jersey.
"It felt unbelievable," Vatanen said. "I have to say I was honored that I had the chance to do that thing. I can say to my grandsons someday that I made the game-winning goal on Teemu's night."
Rakell tied the game 4-4 with his second goal, third of the season, with 2:03 remaining in the third period. He deftly collected a pass from behind the net from Patrick Maroon and stuffed the puck in the right side of the net.
Rakell chipped in a loose puck on the power play at 8:33 of the first, and he extended the shootout for the Ducks when he beat Pavelec with a backhand in the fourth round.
"It feels good, but it's only one game too," said Rakell, who had one goal in his first 53 NHL games. "[I've] hit so many posts. I've been pretty unlucky, so it feels great."
The Ducks (27-10-6), who participated in the Selanne ceremony, are an NHL-best 21-0-6 in one-goal games. The win Sunday allowed Anaheim to set an NHL record for most consecutive home wins by one goal with 11.
Selanne watched the game from a suite and was often seen smiling.
"It was a great night; at the end of the day we pulled through," Ducks forward Andrew Cogliano said. "It was a pretty special night to be a part of. He has been a legend, and he has been a guy that I've looked up to, and a lot of guys in this room have. So, it was a good finish, and I think it was a fitting finish."
The Ducks pulled to 4-3 on a power-play goal by Kyle Palmieri at 6:25 of the third. They went 2-for-5 on the power play.
Anaheim chased the game from the start, but got a huge boost killing a two-minute 5-on-3 power play at the end of the second period and beginning of the third. Getzlaf took unsportsmanlike conduct and roughing penalties when he tussled with Winnipeg defenseman Dustin Byfuglien after Byfuglien's big hit on Francois Beauchemin.
"It has been fairly emotional," Ducks coach Bruce Boudreau said. "It's just one of those games where we couldn't get anything going right off the bat, but if you believe you can come back and do some of the right things, you always have a chance."
It was Kane's first goal since he returned from a five-game absence because of a lower-body injury in the Jets' 5-4 shootout win against the Los Angeles Kings on Saturday. Bogosian's goal was his second in two nights.
Jets coach Paul Maurice was content with Winnipeg getting three of four possible points from a back-to-back against the Ducks and Kings. The Jets squandered a multigoal lead in each game, but Maurice didn't see it as a big problem.
"It hurts because you had a lead," Maurice said. "Other than that, we battled really hard. Last night's game was a physical affair. And there was a lot of hitting in that 65 minutes. That takes its toll. So I liked the way we came out. We had good jump. It wasn't easy to fire up after a real classy ceremony that they had here. I'm disappointed with the loss, but not with the team."
The Jets lamented not converting the 5-on-3 advantage, the lost lead and the lost point. The big picture of a historic night wasn't lost on them after they came out to watch a portion of the ceremony.
"It was professional," Bogosian said. "You have to get yourself ready to play for those games. It was actually pretty cool to see that whole thing happen. Obviously, Teemu meant a lot to a lot of people. That was pretty cool to see."
Former Ducks forward Mathieu Perreault assisted on Scheifele's goal and has 18 points in his past 18 games.