Hossa was helped off the ice in the third period of Tuesday's 4-3 shootout win over the Blackhawks after Hansen stuck him in the back of the head with an elbow.
Hansen was issued a minor penalty on the play.
Hossa, who suffered a concussion in last year's playoffs from a hit delivered by Raffi Torres of the Phoenix Coyotes, didn't return to the game.
Hansen was handed the first suspension of his seven-year career and will miss Thursday's Vancouver game in Dallas.
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