Murray also felt Carlyle benefitted from his time in Toronto. Carlyle, hired by the Maple Leafs on March 2, 2012, was fired 40 games into the 2014-15 season.
"I think we've all had to make that learning transition, myself included, to younger players because the [Ducks] team that won the Cup was an older team," Murray said.
Carlyle compared coaching the Maple Leafs to being in New York and coaching the New York Yankees.
"It's probably an equal, where everything you do is either deemed positive or negative," he said. "There's not too much in between those type of environments. The team that we had was not a team that was constructed to say that we're going to wait."
The climate changed once the Maple Leafs got ahead of schedule.
"As soon as we made the playoffs, expectations went up to a level that I don't know if our lineup was at the same level," he said. "Those are difficult situations.
"It's a great market to play in, great people to work for. I look upon my time in Toronto that it was a positive. I'm born and raised in Ontario, maybe 300 miles north of Toronto, grew up as a Toronto Maple Leaf fan, drafted by the Toronto Maple Leafs, played for them for two years, got to coach the Toronto Maple Leafs. All those things are positives in life."
Murray said injured defenseman Kevin Bieksa is "very, very close" to returning to the lineup. He has been skating every day.
Forward Patrick Eaves, injured in Game 3 against the Oilers, is not close to returning. He had been on crutches and earlier had his right foot in a walking boot.
"For a while I just thought that was it," Murray said. "But I have hope now that we're going to see him again at some point."