I've written before about the primary dimensions of cultural difference identified by Geert Hofstede. One of the key dimensions is individualism vs. collectivism, which Hofstede defines as follows:
In Yes!: 50 Scientifically Proven Ways to Be Persuasive, Noah Goldstein, Steve Martin and Robert Cialdini talk about the impact of this cultural dimension on communications:
What do these findings say about influencing others within and outside the workplace? As we discussed in previous chapters, relationships are a key component to the persuasion process--but this is especially true with people from countries with collectivistic orientations... These results suggest that, when dealing with people from collectivistic cultures, it is particularly important to attend to aspects of the relationship that the two of you share...
These findings also suggest that we should be especially vigilant about providing such feedback with people from collectivistic cultures, letting them know that we're attending to the relationship that we share with them as well as to the information they're trying to convey.
A point I'd add is that within any national culture, there are innumerable sub-cultures associated with different regions, industries and even organizations. And these sub-cultures may differ substantially along the primary dimensions of cultural difference, including individualism vs. collectivism. So even--and perhaps especially--when communicating with someone from your own country, it's worth taking some time to understand where they fall along this spectrum and tailoring your communication style accordingly.
(In addition to the research by Yuri Miyamoto and Norbert Schwarz in the Journal of Experimental Social Psychology referenced above, Goldstein, Martin and Cialdini also cite the work of Ron Scollon and Suzanne Wong Scollon in Intercultural Communication: A Discourse Approach.)