He replaces John Anderson, who didn't return after two years with the Coyotes.
The 51-year-old Brown spent the past three seasons with Vancouver, working on a staff that helped lead the Canucks to the Presidents' Trophy in consecutive seasons and a trip to the 2011 Stanley Cup finals.
Brown also has served as an assistant coach for Anaheim, Columbus and Chicago in an NHL career that dates to the 1996-97 season. He also was the head coach for four seasons with Adirondack, the Detroit Red Wings' AHL affiliate.
I challenged him to a goalie fight when we chatted before the game, but he didn't want to go. It was strange to see him at the other end of the ice, but I'm sure he felt the same way looking down at our end.
— Vancouver goalie Eddie Lack joking about facing his former teammate Roberto Luongo after the Canucks' win against the Panthers