For almost every one of those teams, though, there is one that most likely will not be pursuing any head-turning acquisitions until the next season is underway, whenever that might be.
Either way, there is at least one rumored or theoretical trade candidate on each NHL roster whose team should just as soon hold onto, regardless of the ostensible reward that may come with exporting him.
Some need only be retained for the short term until conditions change for the organization in question. Others have too much to offer to be dealt at any point in their prime.
Whether they have reportedly been asked about him or might be asked later down the road (which is always technically a possibility), here is an encapsulation of one untradeable player for each team in alphabetical order.