The US signed a security deal with the leaders of Greenland and Denmark a few weeks ago after Trump threatened to take the strategically important Arctic Circle territory by force.
Greenland, which lies on the shortest route for missiles between Russia and the United States, represents a highly strategic location for Trump's desired "Golden Dome" defence shield.
It also has untapped rare earth deposits and could be a critical player as melting polar ice opens up new shipping routes.
"Massive Oil, Gas, and Mineral Exploration is getting ready to begin in our new and beautiful Greenland!" Trump said in a post on Truth Social.
Citing experts, Trump said "the amount of easily available Oil is far greater than that of almost... anywhere in the World."
READ ALSO: Denmark hails 'binding' Greenland deal with Trump
He did not give details of prospective American involvement.
In August, media reports of a US oil company's preparatory operations in a remote region of eastern Greenland left locals and authorities on the island uneasy.
In the same message on Truth Social, Trump hailed Greenland's position as "second to none" for US and European security.
"Any future attack on the United States will have to come across Greenland, where our Defense will routinely knock down drones, missiles, or any other form of weapon not yet even conceived," Trump said.
"It gives us time, location, and sightline, like nowhere else in the World!" he added.
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