All offseason, the question of whether Zach Parise would return to the Islanders hung over the organization.

Monday finally brought some resolution. Sort of.

Parise, who turned 39 in July, will not be at training camp, preferring to spend time with his family, general manager Lou Lamoriello said.

But Parise is not, at least as of right now, retiring.

“We’ll see how the rest of the season goes, but right now it’s important for him to be [at home],” Lamoriello said. “He’s spent a couple years [with the Islanders], and so that is the decision at this point.”

The Minnesota native seemed to be on the fence with the decision throughout last season, caught between his passion for playing hockey and wanting to spend time with his family, which resides in the Twin Cities.

Lamoriello said that the door is still open for Parise to come back and play and always will be.

“To my knowledge, he is not retiring,” Lamoriello said. “In fact, I don’t feel he will at this point.”

At age 38, Parise’s 21 goals for the Islanders ranked third on the team, and he played in all 82 games.

Should he return at some point, it would presumably be on the same league minimum deal he signed last season.

That would be the perfect situation for the Islanders, who are up against the salary cap and could use another capable scorer.

“It’s been great,” he said on breakup day, regarding his stint with the Islanders. “Really, I remember [J.P. Parise, my father], when he got traded here, almost saying that he was dreading coming here. He’d never been and was dreading it.

“He said he fell in love with the place and then was devastated when he had to leave. I understand what he was talking about.

“This was a great place to play, a great community, the organization’s outstanding. For us to be able to share something like that, it’s pretty neat.”

Parise has played 1,224 career NHL games across three franchises — the Devils, Wild and Islanders — and was still an effective player for the Islanders last season.

In the immediate future, the Isles are left with an open spot in their bottom-six, for which Oliver Wahlstrom and Simon Holmstrom are the favorites to take coming into training camp.

But in the longer term, the question that hung over the offseason is still not quite answered.

“I think everybody knows the relationship that I have with Zach from when he was 17 years old,” Lamoriello, who drafted Parise with the Devils, said. “And I understand, appreciate and respect the decision, where he’s at. But I think that, when you have a player like that who loves the game the way he does and had the success he had and what he did for the team, it’s a tough thing for him to make the decision.

“So you allow it to go as long as you possibly can without pressing or asking, and I think he made the right decision for his family. And then we’ll just keep the door open for him.”

Jackson Cates is the only player the Islanders plan to bring to camp on a professional tryout contract, Lamoriello said.

The 25-year-old center had 23 points with the AHL Lehigh Valley Phantoms last year and played five games with the Flyers.

Alexander Romanov (shoulder surgery) is skating, but the Islanders will be cautious about his availability at next week’s camp. “It’ll be close if he’s not [ready],” Lamoriello said.

The Islanders are otherwise healthy coming into camp.

Doug Houda and John MacLean will return as assistant coaches.