Zetterberg is one of three Detroit Red Wings who will play for Sweden, one of the co-hosts of the tournament. Forward Johan Franzen and defenseman Jonathan Ericsson have also confirmed their intention to play for Tre Kronor.
Crosby will not play for Canada at the World Championship, citing a desire to prepare for next season after missing 60 games this season because of concussion- and neck-related issues.
Pittsburgh general manager Ray Shero said forwards James Neal and Jordan Staal and defenseman Kris Letang have been invited to play for Canada. Evgeni Malkin has also been invited by Russia and defenseman Zybnek Michalek by the Czech Republic -- Shero said decisions for all of those players will come after taking physicals with a team physician Tuesday afternoon.
Vancouver forward Daniel Sedin declined to join Sweden's entry. Sedin missed the end of the regular season and start of the Canucks' first-round series with Los Angeles because of a concussion. His twin brother, Henrik, said he would decide Friday if he is going to play in the tournament or not.