Reactions after Trump interest in buying Greenland The owner of a hotel in eastern Greenland gives his reaction to reports that US President Donald Trump has suggested buying the island of Greenland, with Denmark saying it is 'not for sale.' Trump has expressed interest in the self-governing part of Denmark -- which is mostly covered in ice, -- asking advisors if it is possible for the US to acquire the territory, The Wall Street Journal said Thursday, citing people familiar with the discussions.