If a trade were to happen, they probably won't be able to get a solid return for him, and if they can't get any trades going, they will have to place him on waivers.
There's been a lot of talk about Puljujarvi being moved, and how it might help him with a change of scenery as he has struggled in Edmonton for awhile now. This year he only has 10 points in 49 games, 4 of them being goals, 6 of them being assists, and he currently sits 16th place on the team in scoring.