Like even if they want to take on terrible contracts for picks, how many of those are even out there anymore? And if the player has any trade protection, you know that Arizona is first on their list.
Tbh usually the player is aware that he's no longer wanted and he's just happy to go somewhere else, even if it's a hopeless situation like Arizona. You're more likely to get increased minutes there, which could improve your chances of receiving more than league minimum on the next contract, also Coyotes are better equipped to facilitate a salary retention trade down the road where the player goes to a contender as a depth guy. Quickly looking at each team, I tried to pick guys signed through next season:
FORWARDS
MTL, Paul Byron (3.4m caphit vs. 2.8m salary)
VGK, Evgeni Dadonov (6.5m salary isn't great, but if it's a Fleury esque trade why not)
WPG, Bryan Little (if he's done, LTIR)
EDM, Zach Kassian (rebuilding teams always need grit)
VAN, Micheal Ferland (LTIR)
CHI, Brett Connolly
CHI, Tyler Johnson (I wouldn't be surprised if players wanted to distance themselves from the organization)
WSH, Carl Hagelin (is he still alright? point totals don't look that great)
DAL, Jamie Benn (unlikely yes, but if things go sour between him and management? maybe)
PHI, James van Riemsdyk (7m caphit vs. 5m salary)
PHI, Kevin Hayes (3.75m signing bonus due in the offseason, maybe after that)
TOR, Nick Ritchie (need Leafs to retain though, 3.3m due in 2022-23)
FLA, Patrik Hornqvist
CGY, Milan Lucic (5.25m caphit vs. 3.5m salary)
BOS, Chris Wagner (AHL only this season, due 1m next season)
D-MEN
MTL, Shea Weber (if he's done, LTIR)
CAR, Jake Gardiner (if he's done, LTIR)
BOS, John Moore
OTT, Michael Del Zotto
GOALIES
DAL, Ben Bishop (LTIR)
TOR, Petr Mrazek (might be too expensive considering how little they're paying this season for goaltending)
LAK, Jonathan Quick (pay Yotes to buy him out?)
NYI, Semyon Varlamov
MIN, Cam Talbot (can Minnesota fit him under the cap next year?)
Some of these teams are also rebuilding and shouldn't pay to dump contracts, but then again GMs and impatient owners don't work that way (
cough cough Flyers).