I did some research on the teams from Devilswede's post, and here's what I gathered:
Buffalo -- Other than Sam Reinhart (C/RW) and Nic Baptiste (RW), there isn't much here. From Shero's perspective and applying his "model," Reinhart wears the "former high pick" hat and Baptiste is the "under-utilized project with scoring touch." Personally, I have a hard time seeing Buffalo selling Reinhart at the price Shero wants to pay.
Minnesota -- Zucker and Dumba are the big expiring RFA's for them, but both players seem to be in their long-term plans. It's interesting to note that the Wild will have to give raises to the aforementioned players, along with re-signing/replacing their entire fourth line (Winnik/Cullen/Stewart), with only about $10M. Perhaps Brodin's $4.167M AAV gets a bit too pricey to hang onto?
Los Angeles -- Shero has to be looking at their D situation here, specifically their left side. Even moving Martinez to the right side (he plays both), they have a logjam with Phaneuf/Muzzin/LaDue/Forbort/Gravel, with top prospect Kale Clague jockeying for a spot as soon as next year. Pulling back the curtain a bit, LA extended Forbort at the beginning of this season, and have escalated his minutes from ~18:00 ATOI last year to ~21:30 ATOI this year. He has logged 24+ minutes in two of their last five games, being paired with Doughty. The Kings love LaDue and Clague (and their ELCs), and Phaneuf automatically gets a spot, so perhaps Muzzin is the odd man out? It certainly looks like Forbort is being groomed to take over his role.
Arizona -- I don't buy the smoke around Max Domi. The only other guy is Tobias Rieder, who has surfaced quite a bit recently in trade rumors. He just turned 25, can play all three forward positions, and has stats/usage that are extremely similar to what Palmieri had when Shero acquired him. He's also remarkably durable, having missed only three games over the past three seasons.
Vancouver -- The Canucks have a glut of pending RFA defensemen, but I don't see Hutton/Stetcher/Gudbranson being better than what we currently have by way of young defensemen. An obligatory plug here for Derrick Pouliot, given the Pittsburgh/Shero connection, but, again, I don't think he's an upgrade on what we already have.
Detroit -- Their cap situation is a god damn mess, jesus. Devilswede name dropped Gustav Nyquist, so that's self-explanatory. I think he's the cheaper option between him and Tatar. Other than that, it has been reported that D Xavier Ouellet may be given a fresh start elsewhere. He hasn't shown much at the NHL level, so unless Shero loves him for some reason, I don't think that'll happen.
Edmonton -- It's almost awkward to list them as a candidate for a "buy low" trade, given the context of the Hall acquisition. Like LA, they have a logjam of LD, with Sekera/Klefbom/Russell/Davidson/Nurse. In this case, though, I think they'd prefer to bury/buy out Russell instead of moving Davidson/Nurse. At forward, Slepyshev has been under-utilized.