The 22-year-old Vey had five assists in 18 games for Los Angeles last season.
He had 55 goals and 103 assists over three season with the Manchester Monarchs, the Kings' American Hockey League affiliate.
Vancouver acquired the 50th pick in a trade with the Tampa Bay Lightning on Friday. The Canucks sent defenceman Jason Garrison, the rights to forward Jeff Costello and a seventh-round pick in the 2015 NHL Draft to Tampa in return.
That's today's game. That's one of the things you have to deal with when you're a championship team. Guys are going to earn more money based on their performance and what they've achieved, [and] deservedly so. [Saad] falls into that category.
— Blackhawks coach Joel Quenneville on Brandon Saad, who was traded by Chicago to the Columbus Blue Jackets this offseason