What nonsense! A bit of real history is needed.
Russia  has already responded that it sees the Arctic within its "sphere of interest", not  of influence.  And that it looks to carry on its interest in peace and harmony with others  present there.

Already in WW2 and during the Cold War Denmark acceded to  USA took actions that establish Greenland as part of its sphere of national security interest.

What is now pushing the narrative are the actions of the autonomous government in Greenland. Quite aware that colonial Denmark lacks the capacity,  and frankly the  interest to do anything to improve the lives of the local populations, the locals are taking the initiative, and it seems to be working.

Take the project to improve the capacity of the main airport, so that larger planes can fly there. The locals enticed China to build one for them. China agreed to fund an airport, that they insisted on building  themselves. We know from the Chankay port in Peru and other huge fund-and-build Chinese projects that they serve to establish a Chinese presence in the countries helped, for the life of the loans. A major airport in Greenland would soon eclipse any economic benefit due to the presence of one US base on the island. It is my understanding that the US intervened to stop the Chinese offer by providing funds to Denmark so that it could fund  at least two thirds of the project.
It is this pressure from China, intended to establish an interest within the Arctic, that may explain Trump's desire to finally put to rest the issue of possession of the largest island on Earth (taking Australia as a continent), which sits opposite Alaska and its northern borders and  whose population is more akin to the Inuit in Alaska. This intent was known by Denmark as far back as President Truman, if not earlier.

Since Denmark has already agreed to accept an independent Greenland, this should be encouraged to happen. At which point there is no reason to pay Denmark. Any offer for any condition of association with the USA should be reached with its local population once independent, for their maximum benefit.