Nuuk, Greenland - President Donald Trump's suggestion that the US should annex Greenland was met with international condemnation Monday as the autonomous Danish territory's prime minister hit out.

The US military aggression in Venezuela has reignited fears for Greenland, which Trump has repeatedly said he wants to own.

While aboard Air Force One en route to Washington, Trump reiterated the goal.

"We need Greenland from the standpoint of national security, and Denmark is not going to be able to do it," he said in response to a reporter's question.

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"We'll worry about Greenland in about two months... let's talk about Greenland in 20 days."

The territory's prime minister, Jens-Frederik Nielsen, hit back almost immediately.

"Enough is enough," he wrote on Facebook. "No more pressure. No more insinuations. No more fantasies of annexation."

"We are open to dialogue. We are open to discussions. But this must happen through the proper channels and with respect for international law."

Expressing its "solidarity" with Denmark on Monday, France's foreign ministry spokesman Pascal Confavreux told television channel TF1 that "borders cannot be changed by force."

Trump rattled world leaders by illegally attacking Caracas and abducting Venezuelan President Nicolas Maduro, who is now being detained in New York.

The Republican has said the us will now "run" Venezuela indefinitely and tap its huge oil reserves.

Asked in a phone interview with The Atlantic about the implications of the Venezuela military operation for mineral-rich Greenland, Trump said it was up to others to decide.

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"They are going to have to view it themselves. I really don't know," Trump was quoted as saying.

He added: "But we do need Greenland, absolutely. We need it for defense."

Finnish President Alexander Stubb said on X: "No one decides for Greenland and Denmark but Greenland and Denmark themselves", while his Swedish and Norwegian counterparts put out similar messages of support.

Former Trump aide Katie Miller, who is also the wife of the president's most influential adviser, added fuel to the fire by posting an image of Greenland in the colors of the US flag, captioning it "SOON."

Greenland's Nielsen called Miller's post "disrespectful," writing on X that "our country is not for sale, and our future is not decided by social media posts."

Over the weekend, the Danish prime minister also called on Washington to stop "threatening its historical ally."

"It is absolutely absurd to say that the United States should take control of Greenland," Prime Minister Mette Frederiksen said in a statement, also noting that Denmark, "and thus Greenland," was a NATO member protected by the agreement's security guarantees.