One of the main challenges of intercultural communication is ethnocentrism, often common among people that have the assumption the cultural group that they belong to is superior to other cultural groups. To avoid this, consciously try to be open-minded and unbiased towards other cultures, by accepting them as they are. Also, do not assume that other societies/cultures are analogous rather than different from your own. Different rules, morals, and norms apply in other cultures.
The most common barrier to intercultural communication anxiety. When people are doubtful about what is expected of them or what to do, it is only natural to feel anxious. Our focus is also likely to shift to a feeling of apprehensiveness apart from the intercultural transaction that is taking place. As a result, people tend to make more mistakes than they would have otherwise and end up behaving ungracefully to others.