"Getting him back just before the playoffs was huge," Nill said of Zuccarello on Thursday, following Dallas' exit meetings. "He fit like a glove. I think he was a big part of our success, and we'd like to keep him here."
Zuccarello has 355 points (114 goals, 214 assists) in 511 games through nine NHL seasons with the Rangers and Stars. He has 42 points (15 goals, 27 assists) in 73 playoff games, and reached the 2014 Cup Final with New York.
"Right now I'm unemployed, so you don't know what you're going to do," Zuccarello said. "There's a lot of things you've got to think about. You want to win. That's probably the No. 1 thing that you look at.
"This is my team now, you know, and we'll see what's going on. I'm the kind of guy that I like when someone believes in you and wants you."
Stars coach Jim Montgomery said, "I think Jim will do what's best for the Dallas Stars, and I've already told [Zuccarello] that I'd like to have him back."
Zuccarello said he has enjoyed his time in Dallas, a place that he was unfamiliar with having spent his entire NHL career in the Eastern Conference.
"If I get back, there's a big, bright future here for this team," he said. "A lot of good players, a good goalie, good leadership."