Julien Gauthier isn’t hanging his hat on a couple of goals and a couple of impactful performances in recent games.

Everyone knows the Rangers are in a precarious spot when it comes to the flat salary cap, under which the club has little breathing room, especially since it has carried the maximum 23 players for a majority of the season in the wake of injuries. It’s only a matter of time before the Rangers send someone down to AHL Hartford, but Gauthier has made a solid case to stay since he was recalled on Oct. 25.

Still, the 25-year-old winger isn’t allowing himself to be satisfied.

“I’m working hard and I’m playing a power forward game,” Gauthier told The Post. “I try to be consistent every game and just doing the little things every game to gain the coach’s confidence. I think it’s going well right now. Just keep hitting, keep going to the net, keep skating and good things happen.”

Two goals and an assist for three points in nine games might not seem like a lot, but it’s an encouraging start for a player who has never recorded more than eight points and has never appeared in more than 49 games in a season. Gauthier is already one goal away from tying his career high of three from last season, in which he also played in a career-high 49 games.

In addition to the points, Gauthier has brought some much-needed speed to the bottom six. He skated on the third line in four games and on the fourth line in four games before earning a look on the second line in the Rangers’ loss to the Predators. The promotion to the top six may have been due to Vitali Kravtsov’s tooth infection/stomach bug, but the fact that Gauthier was the one head coach Gerard Gallant turned to is telling.

“He looks really good,” Gallant said. “Ever since we called him up, he’s played good hockey and good minutes. Found a way to put the puck in the net a little bit. I’m really happy with him and good for him, he deserves a good opportunity and he’s taken advantage of it.”

Gauthier can drive to the net better than most. Utilizing his 6-foot-4, 224-pound frame, the righty shot bulldozes his way through the defense and competes along the walls in ways that open up the ice for his linemates. The next step is to find ways to consistently finish, which has been an issue for Gauthier since he entered the NHL in 2019-20.

“He’s a big, strong, fast kid that has tons of speed that can kind of break the game open at any time,” Vincent Trocheck said of Gauthier after skating alongside him for the first time in Nashville. “At the same time he’s good in the corners. Like I said, he has a really big frame. Strong kid, so he works well down low.”

It was evident just how much it meant to Gauthier to get some meaningful minutes with his father, Martin, looking on during the dads’ trip this past weekend. Even though his dad received a bulk of the attention on social media for his buff build, Gauthier said it was nice to have him around since he isn’t able to come to games a lot due to his job as a chiropractor.

There’s a demotion to the AHL on the horizon, but it shouldn’t be Gauthier who goes. Ryan Carpenter, who would have to pass through waivers if sent to the Wolf Pack, would likely be the other option. Time will tell. If Gauthier continues on his current trajectory, however, the Rangers shouldn’t stunt his progress into a true NHL power forward.

“The one thing right now is just to try and keep it going,” Gauthier said. “I got to keep doing my thing and show them I earned a roster spot. Hopefully, things are just going to end up my way, you know?”