I'm not sure you'd call it a "right" so much as a pragmatically allowed freedom.
Its basis, I think, is a synthesis of the Monroe Doctrine with "Walk softly and
carry a big stick.", although the 'softly' part has worn thin at times.
The Roosevelt Corollary
The Good Neighbor Policy was, by and large, successful throughout the Western Hemisphere.
Named for President James Monroe, the Monroe Doctrine is/was America's foreign policy regarding the Western Hemisphere.
Monroe doctrine
true
Big Stick Policy
yes.
Monroe doctrine
President James Monroe
Though many decades passed before Monroe's plan was implemented, it became the first real doctrine of American foreign policy. In the 20th Century, the Monroe Doctrine became a foundation of U.S. foreign policy in the Western Hemisphere.
police the western hemisphere.
The Monroe doctrine