Greenland's Prime Minister, Jens-Frederik Nielsen, said the territory was willing to cooperate with the United States and other countries, but only on the basis of mutual respect.
While most Greenlanders favour eventual independence from Denmark, opinion polls show overwhelming opposition to becoming part of the US.
With a population of only 57,000 I'm not sure how independence could work. It seems to me that such a large geography with so few people would need to depend on at least one other country for protection etc.