Of course the snap reaction by the Danish would be to say no. They need to get reelected. Greenland is semi-autonomous and parts (most) of it is very lightly populated. A slice could be carved off and sold. The few residents could be compensated given a new life wherever in Greenland they wanted or become American. If Denmark had even a small interest in selling it might spark interest with other countries - Canada, China, Norway.
In business, just because you get a flat turn down on the first approach doesn't mean the deal is dead.
It will be interesting to see how the natives of Greenland react.
"The fall of Denmark in April 1940 left the Danish colony of Greenland an unoccupied territory of an occupied nation, under threat of seizure by the United Kingdom or Canada. To forestall this, the United States acted to guarantee Greenland's position. However, with the entrance of the United States into the war in December 1941, Greenland became a combatant.
From 1941 until 1945, the United States established numerous and extensive facilities for air and sea traffic in Greenland, as well as radio beacons, radio stations, weather stations, ports, depots, artillery posts, and search-and-rescue stations. The United States Coast Guard also provided a considerable portion of the civilian resupply task up and down both coasts.
Economically, Greenland traded successfully with the United States, Canada, and Portugal, which, supplemented by the cryolite exports, caused a reanimation and permanent realignment of the island's economy."
https://en.wikipedia.org/wiki/Greenland_in_World_War_II
