"We've been talking about bringing in some good energy guys that are going to work hard and compete hard physically and he's going to do that for us," Canucks general manager Jim Benning said Friday.
The pick, No. 85, was acquired by Vancouver earlier Friday as part of the multiplayer trade that sent center Ryan Kesler to the Anaheim Ducks.
Dorsett, 27, scored four goals and finished with eight points and 128 penalty minutes in 51 regular-season games for the Rangers. He had one assist and 19 penalty minutes in 23 Stanley Cup Playoff games.
A seventh-round pick (No. 189) in the 2006 NHL Draft by the Columbus Blue Jackets, Dorsett has 31 goals, 73 points and 855 penalty minutes in 331 games with the Blue Jackets and Rangers.
It's cool when you think about how many great American players have played the game and the two players that were at that 18-game point streak and what they've done in their careers. It's pretty cool right now, but it was kind of overshadowed by the loss.
— Blackhawks forward Patrick Kane after breaking the record for longest point streak by an American-born player with a goal and an assist in a 3-2 overtime loss against the Kings