Chorske, acquired from the New York Islanders in October, spent more time injured than playing during his stint in Washington.
He returned to the lineup last week after missing 48 games following abdominal surgery and had just two assists in 16 games played with the Caps.
Chorske joins a Calgary team fighting Edmonton for the final playoff berth in the National Hockey League's Western Conference. The eighth-place Flames led the Oilers by two points before the teams played each other Monday night.
The trade leaves the Capitals with eight players set to become free agents this summer. Brad Shaw was traded to St. Louis last Friday, and several players who last year helped the team win the Eastern Conference title - Joe Juneau, Brian Bellows, Dale Hunter, Mark Tinordi and Craig Berube - could be next.
Also Monday, the Capitals reassigned defenseman Steve Poapst to Portland of the American Hockey League.
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