Giguère holds the Anaheim Ducks' franchise record for career wins and shutouts and was the last active NHL player who had played for the Hartford Whalers.

On August 25, 1997 (by which time the Whalers had relocated to become the Carolina Hurricanes), Giguère was traded to the Calgary Flames, along with centre Andrew Cassels, for forward Gary Roberts and goaltender Trevor Kidd.

Giguère spent a total of four seasons in the Flames organization, making brief 15- and seven-game appearances with Calgary in 1998–99 and 1999–2000, respectively, while spending most of his time in the AHL.

Giguère's first winning season in the NHL helped the Mighty Ducks enter the 2003 playoffs as the seventh seed in the Western Conference.

From that point, Giguere delivered one of the greatest playoff performances in NHL history as he helped lead the team on a Cinderella run to their first Stanley Cup Finals.

Facing the defending Stanley Cup champions and second-seeded Detroit Red Wings in the opening round, Giguère set an NHL record for most saves by a goaltender in their playoff debut with 63 in the Mighty Ducks' 2–1 triple overtime win in Game 1, surpassing Toronto Maple Leafs goaltender Jiří Crha's mark by two saves.

The Ducks would proceed to shock the hockey world by sweeping the Red Wings in four games, with Giguère labelled as the star of the series.

The Mighty Ducks eventually eliminated the Stars in six games, and moved on to the Western Conference Finals to face the Minnesota Wild.

Giguère held the Wild to an all-time, best-of-seven-series low of one goal in the entire series, which included a franchise-record shutout streak of 217 minutes and 54 seconds (later surpassed by Ilya Bryzgalov in 2006).

[4] However, the Mighty Ducks' dream of hoisting the Stanley Cup was stopped by the New Jersey Devils, to whom Anaheim lost in a seven-game series.

He was the fifth player to receive the Conn Smythe Trophy as playoff MVP as part of the losing team[3] and the first since Philadelphia Flyers goaltender Ron Hextall won in 1987.

During Game 5, Giguère was pulled after allowing three goals on eight shots, where Bryzgalov took over and subsequently reeled off three-straight shutouts spanning the first and second rounds against Calgary and the Colorado Avalanche, tying an NHL playoff record and breaking Giguère's 2003 club record of consecutive playoff shutout minutes.

Giguère recorded sub-par numbers during the 2008–09 season, going 19–18–6 with a 3.10 GAA, sharing an increased amount of playing time to his backup Jonas Hiller.

With Hiller's continued emergence as a bona fide starter, Giguère publicly told L.A. Daily News on November 10 that he "would rather retire than be a backup goalie," fuelling a goaltending controversy on the team.

[8] Giguère was traded to the Toronto Maple Leafs on January 31, 2010, in exchange for goaltender Vesa Toskala and forward Jason Blake.

During that time, the Leafs were in need of a goaltender, forcing them to call-up James Reimer from the AHL's Toronto Marlies, who took over the starter's position in Giguère's absence.

It was the most consecutive home wins the franchise had seen since the Quebec Nordiques won ten-straight in 1995 before the club moved to Denver later that year to become the Avalanche.

A groin pull on February 15, 2012, during a losing effort to the Vancouver Canucks, however, sidelined Giguère, allowing Varlamov the opportunity to redeem himself and reclaim the starting position in net for the remainder of the race to the 2012 playoffs, which Colorado ultimately did not qualify for.