The Ducks convened at Honda Center on Saturday to gather belongings and say goodbye after they were swept by the San Jose Sharks in the Western Conference First Round.
"It's kind of a numbness that's subsiding now," Carlyle said.
Carlyle, 62, is 90-48-26 over the past two seasons in his second stint as Ducks coach. He helped Anaheim win the Stanley Cup in 2007 and has the most coaching victories in Ducks history (363-230-87).
"In all honesty, I thought they did way better than I thought they were going to do," Murray said. "To get to where we finished, (tied for) eighth in the League in points, I never thought that."
The Ducks began the season without two of their top defensemen, Hampus Lindholm and Sami Vatanen, who had shoulder surgery after last season, and second-line center Ryan Kesler did not play his first game until Dec. 27 after having hip surgery.
Ducks center Ryan Getzlaf missed 26 regular-season games with injuries and illnesses, defenseman Cam Fowler missed 15 regular-season games and all four playoff games with injuries, and forward Ondrej Kase missed 16 regular-season games with injuries.
The Ducks head into this offseason without any scheduled surgeries, and their top players are signed through at least next season.
Murray revealed that forward Patrick Eaves had surgery for a torn labrum in early March and should be ready to play by mid-October.
Eaves played two games this season before he was diagnosed with Guillain-Barre syndrome, a condition in which the body's immune system attacks the peripheral nervous system.
"There were prior injuries there," Murray said of Eaves' shoulder. "In testing for some of the things that he had, he tried to do some tests for things where his body wasn't working right, and it made these worse."
The Ducks acquired Eaves in a trade from the Dallas Stars prior to the 2017 NHL Trade Deadline, and he had 14 points (11 goals, three assists) in the final 20 regular-season games and four points (two goals, two assists) in seven Stanley Cup Playoff games before he missed the final 10 because of a lower-body injury.
The two unrestricted free agents for the Ducks, forward Antoine Vermette and defenseman Kevin Bieksa, each said it was too early to discuss his future.
"We're two days after the season, so that's something that you always take some time," Bieksa said. "You don't make any decisions right after the season. You take some time, decompress and spend time with your family. Get healthy and then you decide after that."
Bieksa missed the final 12 regular-season games, when the Ducks went 10-1-1, after he had surgery March 16 to remove scar tissue from his left hand. He returned for Game 2 against the Sharks, had a turnover that led to the first goal in the 3-2 loss, and was a healthy scratch the final two games.
Bieksa said Saturday that his hand injury occurred during a fight with Philadelphia Flyers defenseman Radko Gudas on Oct. 24, but he postponed surgery as long as possible.
"It kept me out of a lot of games down the stretch, which I'm sure factored into the decision not to play me as much in the playoffs, which is very disappointing, and didn't turn out to be a good-looking decision," he said.
