The deal Monday is the second the Sharks have made in the past week. San Jose traded defenceman Douglas Murray to Pittsburgh last week for two draft picks.
Handzus had one goal and one assist in 28 games. His biggest contributions came in shootouts where he converted three of seven chances. He was benched the last six games as the Sharks tried to get more speed in the lineup.
The pick San Jose got is one they sent to Chicago during last year's draft.
The 36-year-old Handzus is eligible to be an unrestricted free agent this summer. He played eight games for Chicago in 2006-07 before being sidelined by a season-ending knee injury.
That was something I've been dreaming of, something I've told myself before the third period I was going to do ... It was an amazing feeling. It's hard to describe. I didn't believe it went in at first but when I saw all the reaction and all the fans going crazy and my teammates going crazy, it's just an unbelievable feeling. I didn't know what to do. I didn't know whether to jump or just skate and do a Theo Fleury. I don't think I'm the same caliber player he is so I couldn't do it.
— Flames forward Mikael Backlund on scoring the overtime winner against the Ducks in Gm. 3