US ownership would be pointless. The US already has relatively free access to its ally Greenland for military purposes. See for example the US base in Pituffik (formerly Thule). Proposing to annex your allies is a bit rude, to say the least...
If a country other than Denmark was to claim Greenland, either Iceland or Canada would make more sense.
As a Canadian I really can't imagine why we would be a better country for Greenland to be part of then Denmark. Unlike Denmark (and the other nordic countries) we don't have any historical connection to it... nor is it part of our landmass, or really anything else other than vaguely near by.
We're also really not interested in annexing random things.
I meant that geopolitically Canada or Iceland would make more sense, assuming Denmark was out of the picture.
And also glad to hear that random annexations by Canada are currently off the menu. Though who knows if Canada might become "interested" in some bits of Oregon or Maine in the future ;-) These might might not be "really" American....
When American Idiocracy (AI) fatally weakens their southern neighbor would be the time for Canada to conquer their rightful claims. The Burning of Washington will rise again.
If a country other than Denmark was to claim Greenland, either Iceland or Canada would make more sense.