They arrived in New York, one after the other over a two-year span, but they appear to be getting phased out concurrently at the end of their distinguished careers as the centerpieces of their respective organizations.

Henrik Lundqvist doesn’t recall ever meeting Eli Manning, but without anything being made official by the Rangers, he also continues to be losing his grasp on the starting job he has owned since he was first crowned at the Garden in 2005, one year after Manning’s rookie season with the Giants.

“I saw what was going on [with the Giants] this year, and there are some things that are similar, for sure,” Lundqvist told The Post after practice Saturday in Tarrytown. “He was there around 15 years, same for me, just about the same years, too. When you’re in one place for a long time, of course you’re going to go through some different phases with an organization.

“I don’t know Eli, even though you run into so many different athletes in the city, but watching his career, obviously I have so much respect for what he did for his team and for New York.”

Manning won two Super Bowls with the Giants, while Lundqvist has not backstopped the Rangers to an elusive Stanley Cup title during an otherwise stellar 15-year NHL career.

Just as Manning was benched in favor of rookie quarterback Daniel Jones two weeks into this season, a healthy Lundqvist will sit Sunday for the eighth time in the Blueshirts’ past 10 games. Rookie Igor Shesterkin will make his third NHL start against the Blue Jackets after Alex Georgiev had manned the nets in both victories over the Islanders this past week.

“They’re not easy discussions, but Hank and I also have had good conversations regarding the situation we’re in,” Rangers coach David Quinn said. “It’s about players adapting in their careers, and as their careers evolve.

“[Lundqvist] is in a situation where he’s obviously not playing the amount he’s played in the past. That doesn’t mean he’s not a really good goalie. We have faith in him. But our organization feels that we’re gonna have three goalies here as of right now, and it’s just kind of the way it’s evolved and the situation we’re in.”

The Rangers (23-19-4) have won four of their past five games, with Shesterkin and Georgiev notching two wins apiece, sandwiched around a 5-2 loss Jan. 11 in St. Louis in Lundqvist’s lone appearance between the pipes during that stretch.

“It’s a bit of a challenge, for sure. In the end, you want to play. If you’re in this room, you want to play games,” said Lundqvist, who has one year remaining on his contract at a $8.5 million cap hit with no indication he’d be willing to waive his full no-trade clause. “I understand the big picture here, and at the same time, [Georgiev and Shesterkin] are playing well, both of them. I’m trying to focus on the things I can control, and that’s the way I practice and prepare.

“It’s important for me not to overthink it too much, and I’m sure it was the same for [Manning] when he went through it. I know I can play well when I get the next opportunity to play and get my chance.”

With Jones nursing an ankle injury, Manning earned a proper on-field sendoff while starting two games in December — an overtime loss at Philadelphia and a win at MetLife Stadium against the Dolphins.

Lundqvist, however, is competing with two teammates for playing time.

“That’s the balancing act of not letting guys sit too long, and also if someone is in there and playing really well,” Quinn said. “We’re not running a house-league team where everyone gets a shift, everyone gets a start.

“That being said, we feel really good about all three goalies. You don’t want anyone sitting an extended period of time, but you don’t want to do it at the expense of a guy who’s really hot and playing really well and riding his confidence and what he’s giving our team.”

For more on the Rangers, listen to the latest episode of the “Up In The Blue Seats” podcast: