That brings Canada's roster for the event to 23 players — three goalies, seven defencemen and 13 forwards.
Burrows scored 28 goals and added 34 assists for the Vancouver Canucks in 2011-12. The Pincourt, Que., native scored once in the playoffs as the Canucks were eliminated by the Los Angeles Kings in the first round.
Hackett, meanwhile, spent the majority of the season with Minnesota's American Hockey League affiliate in Houston.
The London, Ont., native had a 3-6-0 record in 12 games with the Wild to go along with a 2.38 goals-against average and a .921 save percentage.
Burrows and Hackett will both be representing Canada internationally for the first time.
Teams can add additional players over the course of the championship, with a limit of 25 players on the official roster. Players will not get officially registered to the roster until May 3.
Canada opens the tournament against Slovakia on May 4.