Apparently, the US has been interested in buying Greenland (an autonomous country of the Kingdom of Denmark) since at least 1946 when the Truman administration attempted to buy it for $100 million dollars in gold bars. Since then America also tried to buy it again the 1970s and 90s. Even as far back as 1868, the Secretary of State commissioned a report on the resources of Greenland and Iceland saying that the idea of obtaining them was "worthy of consideration"
Since this time, America acquired Thule Air Base (for free) allowing it to project its military power towards the arctic circle. Most of the rest of Greenland is covered in thick (kilometers deep) glaciers, so the strategic value of acquiring the rest of the land mass seems dubious.
So given the recent reports of the President researching the issue and the Danes outright refusing, what could be the source of America's interest in Greenland? Does it have something to do with Northern shipping lanes opening up due to Global Warming? Is it about projecting American military power? What are the chances of Denmark agreeing to this sale?
Let's say America offered every citizen 1 million dollars each as an incentive to join for a grand total of $56 billion dollars (1% of the annual federal budget). As an "autonomous country" with "home rule" granted since 1979, Greenland can declare full independence if they wish to pursue it, but it would have to be approved by a referendum among the Greenlandic people. Does this mean that the Greenlanders could make this deal by themselves without the approval of Denamark? Would they even want to?