In Elliott's final 36 games, he was 23-9-2 with a 2.27 GAA and .919 save percentage, helping the Flames finish as the first wild card into the Stanley Cup Playoffs from the Western Conference. He also tied a Flames record with 11 straight wins from Feb. 21-March 19.
Elliott said he's looking to have a smoother adjustment to Philadelphia.
"I'm looking forward to hitting the ground running," he said. "Talk about things [with the defensemen], where they like to be and where I'd like them to be. Little things that take time to build. Going through that last year gave me that experience to embrace that change, and hopefully we can have good communication that way."
Elliott replaces Steve Mason, who agreed to a two-year, $8.2 million contract with the Winnipeg Jets on Saturday.
Before leaving Philadelphia, Mason said he didn't want to be part of a platoon system. Elliott will split time with Michal Neuvirth for the Flyers but said he doesn't mind the internal competition for playing time.
"I've been in the same type of situation my whole career," Elliott said. "It's not something I shy away from or am concerned about. I want to play as many games as I can. With how the new NHL is and the schedule, it's tough to play all those games. Lot of teams are switching to having two guys that can hold down the fort. There's still competition, you want to be the guy that can be counted on game in and game out. If you're playing well you get rewarded … If you're going to keep winning you'll stay in the net.
"For myself I just try to keep working hard and eventually things turn in your favor and you end up playing the bulk of the games. I want to come in and contribute as much as I can and be a guy that can be counted on."
Elliott was selected by the Ottawa Senators in the ninth round (No. 291) of the 2003 NHL Draft and is 191-117-35 with a 2.42 GAA, a .913 save percentage and 36 shutouts in 372 games (338 starts) in 10 seasons with the Flames, Blues, Senators and Colorado Avalanche. He is 15-22 in 41 Stanley Cup Playoff games.
He was selected for the NHL All-Star Game twice (2012, 2015) and won the William M. Jennings Trophy, helping the Blues allow the fewest goals in the League in 2011-12, when he also led the League with a 1.56 GAA.