When you are dreaming of yourself being sick with coughing, then it could mean that your overall health is bad. To dream that other people cough strongly, suggests that you are living in an unpleasant social situation from which you want to get away. Overall, coughing in dreams is usually a sign of uncertainty and anguish for an unappealing future. There could be various signals that indicate upcoming threats that could take you by surprise.
Read more about dreaming of Coughing in other dream meanings interpretations.