Rask and Pesce each will be out for the rest of the season after dealing with a shoulder injury sustained earlier this season.
The Hurricanes, 4-10-12 in their past 16 games, trail the New Jersey Devils by nine points for the second wild card into the Stanley Cup Playoffs from the Eastern Conference with nine games to play. Goaltender Cam Ward will start.
Goaltender Darcy Kuemper will start for the Coyotes, 7-3-1 in their past 11 games and 12-5-1 in their past 18. Arizona was eliminated from playoff contention on March 14.