Trocheck played in 55 games for the Panthers this season while notching 10 goals and 26 assists. The 26-year-old is two years removed from a 31-goal campaign, and there are two years remaining on his contract at a cap hit of $4.75 million.
Haula will be an unrestricted free agent after this season. The 28-year-old recorded 22 points in 41 games during his time with the Hurricanes this year. He previously played for the Vegas Golden Knights and Minnesota Wild.
Wallmark, 24, will become a restricted free agent at year's end. He's scored 11 goals and added 12 assists in 60 games so far in 2019-20.
Prospects Luostarinen (a second-round pick in 2017) and Priskie (a 2016 sixth-rounder) have spent this season in the AHL. Luostarinen played eight games with the Hurricanes in 2018-19.