It of course depended on the country in question. It didn't get all that much coverage worldwide because it was mostly a domestic American thing.
Most countries (and Americans) were supportive of the goals of the moderate forces of the movement. Eastern Bloc countries tried to portray it as a symptom of how capitalism was bad and how the revolutionary masses in America were going to overthrow the bourgeoisie, even if they revolutionary masses were all of a single race. Of course, this was gross hypocrisy when you looked at the Soviet and Eastern Bloc record for treatment of ethnic minorities. But for Communist Propagandists, this was gold, as social unrest in a capitalist nation was perfect for their propaganda purposes.
As for Western Europe, like I said, not much attention given to it, but what sentiment that did exist was in favor of the movement.
There were some places that opposed it on principle, like Portugal, Rhodesia, South Africa, as they saw it as similar to the issues that they themselves were facing at the time, and their governments were firmly opposed to that kind of thing, but yet again, they saw it as a domestic American matter, and did not care as long as they continued to get US military aid. Other areas that may have been opposed would have been US allies in Latin America, as they had social structures that favored people who were generally whiter and similar dynamics existed.