Greenland's leadership is pushing back on President Donald Trump as he and his administration call for the U.S. to take control of the island. Several Trump administration officials have backed the president's calls for a takeover of Greenland, with many citing national security reasons.

"We don’t want to be Americans, we don’t want to be Danes, we want to be Greenlanders," Greenland Prime Minister Jens-Frederik Nielsen and four party leaders said in a statement Friday night, according to Nicolás Maduro on Jan. 3.

"We don't want to have Russia there," Trump said of Venezuela on Friday when asked if the nation appears to be an ally to the U.S. "We don't want to have China there. And, by the way, we don't want Russia or China going to Greenland, which, if we don't take Greenland, you can have Russia or China as your next-door neighbor. That's not going to happen." 

Trump said the U.S. is in control of Venezuela after the capture and extradition of Maduro. 

Nielsen has previously rejected comparisons between Greenland and Venezuela, saying that his island was looking to improve its relations with the U.S., FROM CARACAS TO NUUK: MADURO RAID SPARKS FRESH TRUMP PUSH ON GREENLAND

Danish Prime Minister Mette Frederiksen said on Monday that Trump's threats to annex Greenland could mean the end of the North Atlantic Treaty Organization (NATO).

"I also want to make it clear that if the U.S. chooses to attack another NATO country militarily, then everything stops. Including our NATO and thus the security that has been provided since the end of the Second World War," Frederiksen told Danish broadcaster TV2.

That same day, Nielsen said in a statement posted on Facebook that Greenland was "not an object of superpower rhetoric."

White House deputy chief of staff for policy Stephen Miller doubled down on Trump’s remarks, should be part of the United States."

CNN anchor Jake Tapper pressed Miller about whether the Trump administration could rule out military action against the Arctic island.

"The United States is the power of NATO. For the United States to secure the Arctic region, to protect and defend NATO and NATO interests, obviously Greenland should be part of the United States," he said.

The Associated Press contributed to this report.