A few names have been wiped off the board of available candidates to become the next Rangers head coach, but one new one has emerged.

Former Islanders coach turned Predators general manager Barry Trotz made his first big managerial decision Tuesday by dismissing head coach John Hynes.

The Predators then hired Devils associate coach Andrew Brunette, who will get his second crack at being in charge behind an NHL bench.

Hynes’ services are now available to the four NHL teams — Ducks, Blue Jackets, Flames and Rangers — still in need of a head coach.

With nine seasons of head-coaching experience, Hynes becomes another veteran option.

Rangers president and general manager Chris Drury was teammates with Hynes at Boston University for three seasons. Hynes could provide what Drury probably needs: Rapport with his next head coach.

Since there was no prior relationship between Drury and Gerard Gallant, it would not be surprising to see the GM go with someone he is familiar with.

Hynes had been head coach in Nashville since the middle of the 2019-20 season, when he was fired by the Devils and picked up by the Predators just over a month later.

The Devils gave Hynes his first gig as an NHL head coach ahead of the 2015-16 season, but the club only made the playoffs once under his command and lost in the first round.

Hynes owns a career coaching record of 284-254-63 and has never made it past the first round of the postseason.

On Tuesday morning, the Capitals announced they had snatched up one of the most coveted available coaching options this summer when they named Spencer Carbery the 20th head coach in the organization’s history.

Carbery, who interviewed with the Rangers for their head-coaching vacancy, will now embark on his first opportunity as an NHL head coach. The 41-year-old served as an assistant in Toronto the past two seasons.

According to multiple reports, Carbery’s deal is for four years.

Sportsnet was the first to report Carbery’s hiring.

The Rangers’ coaching search is now into its fourth week, after the organization parted ways with Gallant following a first-round exit from the playoffs.

According to a source, Gallant would be willing to jump right back into a new head-coaching opportunity.

He has already been linked to the Flames, who let Darryl Sutter go at the beginning of this month.

Drury said he wasn’t going to limit the Rangers’ options to any specific type of style or experience level, which indicates that he could take this hire in any direction.

With Carbery and Brunette off the board, the Rangers still have Jay Leach and Peter Laviolette as candidates they already have interviewed.

It is believed, however, that Leach is a long shot because it would be his first time as an NHL head coach.

On the other hand, Laviolette would be the safest and most established option.

The Blue Jackets are rumored to also be interested in Laviolette, so the Rangers may be facing some time pressure.

The Capitals dismissed Laviolette in mid-April after the team missed the playoffs.

He has already worked for half of the eight Metropolitan Division teams — Capitals, Flyers, Hurricanes and Islanders — over his 21 seasons coaching in the NHL.