Earlier in the day, Russia's ambassador to Denmark, Vladimir Barbin, also reacted to the US president-elect's expressed desire to take control of the island.
"If the US goes its own way on Greenland and increases its military presence, Russia may be forced to respond," he writes in a comment to the Danish newspaper Berlingske.
Donald Trump has previously stated his desire to control Greenland as a necessity to defend the free world.
There are Chinese ships everywhere. There are Russian ships everywhere. So we can't have that, he said during a press conference on Tuesday, when he also did not rule out military force.
Greenland is a highly self-governing part of Denmark. After being thrown into the political spotlight, the question of independence has once again become highly topical.
A warning also comes from Vladimir Barbin.
"The question of Greenland's fate must be decided based on the Greenlanders' own will, within the framework of Danish legislation and without external interference."
Greenland already has a comprehensive defense agreement with the US, which gives the American military great leeway. There are, among other things, radar stations that provide the opportunity to monitor the airspace over the North Ice Sea.
In recent decades, Russia has increased its military presence in the Arctic. The purpose is, among other things, to secure shipping traffic in the Northeast Passage, which runs north of Russia to Asia, writes Berlingske.
