Cohn is one of America's top tech bosses, a leader in the race to develop AI and quantum computing, and served under Trump as director of the White House National Economic Council.
In a sign of how seriously business leaders are taking the crisis, he warned "invading an independent country that is part of Nato" would be "over the edge".
He also suggested the president's recent comments about Greenland "may be part of a negotiation".
"I just came from a US congressional delegation meeting, and I think there's pretty uniform consensus with both Republicans and Democrats that Greenland will stay Greenland," he said.
Greenland would be happy for the US to increase its military presence on the island, he said, with the North Atlantic and Arctic Ocean "becoming much more of a military threat".
The US could also negotiate an "offtake" agreement for Greenland's vast yet largely untapped supplies of rare earth minerals, Cohn suggested.
"But I think, you know, invading a country that doesn't want to be invaded – that's part of a militaristic alliance, Nato – seems to me to be a little bit over the edge at this point," he said.
Cohn indicated the president may be overstating his demands as part of a negotiating tactic – something he says the president has done successfully in the past.
"You've got to give Donald Trump some credit for the successes he's had and he's many times tried to overreach to get something in a compromise situation," he said.
"He has overreached in advertising something to end up getting what he actually wants. Maybe what he actually wants is a larger military presence and an offtake."
