Trump, who in 2017 withdrew the United States from the Paris Climate Agreement to cap global warming levels, is reportedly set to visit Copenhagen in September.
"If he is truly contemplating this, then this is final proof that he has gone mad", Soren Espersen, Foreign Affairs spokesman for the Danish People's Party, told DR, the Danish Broadcasting Corporation. The Pentagon built its northern-most military installation, Thule Air Base, on Greenland in 1951, as a means for missile defense. It is home to almost 57,000 people, most of whom belong to the indigenous Inuit community.
Politicians in Denmark have ridiculed the idea of a possible USA acquisition.
Following a referendum in 2009, Greenland has had the power to declare independence from Denmark at any time, but it continues to face financial obstacles, with nearly half of the island's budget coming from a block grant from Copenhagen.
Danish politicians poured scorn on the idea of selling Greenland to the US after reports President Donald Trump had privately discussed the idea of buying the world's biggest island with his advisers.
In May, U.S. Secretary of State Mike Pompeo said Russian Federation was behaving aggressively in the Arctic and China's actions there had to be watched closely as well. As an example when Trump visited North Korea he spoke of the potential for beach hotels and condos in the country thoughts that most would find odd to say the least. The remark was one of several from local residents who reacted with a mixture of mockery and anger to the reports, which originated with an article in The Wall Street Journal on Thursday.
Under the 1803 Louisiana Purchase, the U.S. acquired about 827,000 sq miles (2.1m sq km) of land from France for $15m (£12.3m).
The US famously bought Alaska from the Russian Empire for a cool $7.2 million in 1867.
The US later purchased the Danish West Indies in 1917 and renamed them the US Virgin Islands. Starting with the withdrawal of the United States from the Paris Climate Agreement. "But borders - sovereign territory, rather than property - do not seem to be for sale".
That's how much President Harry Truman offered Denmark to purchase Greenland back in 1946, a deal the Danes turned down. Greenland is a strategic place.