In the regular season, Mrazek went 23-14-3 with a 2.39 goals-against average and .914 save percentage in 40 games. McElhinney played 33 games and went 20-11-2 with a 2.58 GAA and .912 save percentage.
Mrazek started in the playoffs for Carolina before he sustained a lower-body injury in Game 2 against the Islanders. He returned at the start of the conference final but was replaced again by McElhinney for Game 3 after allowing 10 goals on 52 shots.
"I would love to stay," said Mrazek, who is 27. "We will see what happens in a couple weeks, but I hope we're going to find a way to work (it) out."
McElhinney, who is 35, said, "It's certainly tempting to see yourself in different situations and to look for opportunities, but I had a great opportunity here this year and I certainly enjoyed it. I'd be very happy if it were to occur again next year."
Forward Sebastian Aho, 21, who led the Hurricanes with an NHL career-high 83 points (30 goals, 53 assists) in 82 games, will be a restricted free agent after completing his entry-level contract and has previously said he would like to sign a long-term contract with Carolina.
"That's the case, yes, but I have nothing to say at the moment," Aho said.
The Hurricanes will also have a choice to make on forward Micheal Ferland, 27, who had 15 points (11 goals, four assists) in the first 21 games of the season before being sidelined with various injuries. He finished with 40 points (17 goals, 23 assists) in 71 games, but didn't score in the final 17 games of the regular season and had one assist in seven playoff games.
"I definitely would love to come back, but I know there is a business side to everything," Ferland said.
Defenseman Justin Faulk is entering the final season of a six-year, $29 million contract. At the end of last season, he anticipated he might be traded. A year later, he is hopeful of signing an extension.
"It's a conversation that's going to be had at some point," said Faulk, 27, who is the longest-tenured Hurricanes player. "I'm sure they're not looking to do a ton of changes after this year. I just think we're a little more comfortable with each other at this point than we were last year."