It was only Friesen's second goal in 18 games for the Mighty Ducks since being acquired from Washington at the trade deadline.
Miikka Kiprusoff made 33 saves for the Flames.
Game 2 of the best-of-seven series will be in Calgary today.
Dean Lombardi was hired as president and general manager of the Los Angeles Kings on Friday after Dave Taylor was dismissed earlier in the week.
Lombardi, who helped build the expansion San Jose Sharks into an annual contender in the National Hockey League, faces a large rebuilding task with the Kings.
He takes over a team that has not made the NHL playoffs for the past three seasons, and has won only one playoff round in the past decade.
The 45-year-old Lombardi was considered one of North American ice hockey's brightest young executives after he took over a San Jose team that had won more then 20 games just once in its first five years. After he became the GM in 1996, the Sharks improved their point total six years in a row, won one Pacific Division title and twice made the second round of the playoffs.
He was let go, however, with three weeks left in the 2002-2003 season.
Taylor was fired on Tuesday as part of a shakeup after he served nine years as the president and GM. He has been asked to remain with the organization in a different capacity.
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