Sutter was fired by general manager Dean Lombardi on December 1, when the Sharks were 8-12-2-2. He departed San Jose as the most successful coach in club history with a 192-182-60-15 record and in 2001-02 he led the Sharks to the Pacific Division title and an appearance in the Western Conference semifinals.
The 44-year-old Sutter took over the Flames on December 28 and began his tenure with a five-game unbeaten streak.
But Calgary is just 5-12-4-1 over its last 22 games and is tied with the Columbus Ble Jackets for last place in the Western Conference.
The Flames ended a seven-game winless slide (0-4-2-1) Sunday as Jarome Iginla had his first career four-goal game in a 4-2 win at Phoenix.
Iginla scored on the power play, at even strength, shorthanded and into an empty net. The outburst gave him 13 goals in his last 10 games and 13 of Calgary’s last 24 tallies.
San Jose hasn’t improved since replacing Sutter. After winning one game under Doug Wilson, the Sharks hired Ron Wilson on December 4.
Wilson was 10-9-4-3 before the All-Star break, but after the break the Sharks dropped seven of nine games before Friday’s 6-0 home win over Columbus.
Vincent Damphousse scored his third goal in five games, Teemu Selanne tallied for just the third time in 24 games and Marco Sturm netted two goals, giving him three goals in as many games, following a 10-game slump.
Evgeni Nabokov, who had allowed 18 goals in his previous five starts, made 29 saves for his third shutout of the season.
Monday is the first meeting between the teams. In 2001-02, the Sharks took the season series, 3-0-1 and are 3-0-3 in the last six meetings.