Every time I cough I get a sharp pain in my right side from the kidney area, I currently have a chest and throat infection and am on antibiotics.?

X-ray. Please get examined and get a chest x-ray. You must be examined. Chest pain associated with cough, especially right sided, is suggestive of an irritation of the sac around the lungs, the pleura and the condition might be pleuritis or a lung infection.