Arm pain, usually on the right side, accompanied by a tightening of the chest, nausea, and difficulty breathing can be a symptom of coronary artery disease or even a heart attack in some severe cases. Right arm pain can be caused by a variety of factors, ranging from joint inflammation and injuries to compressed nerves and trauma. A person with right arm pain experiences soreness, itching, numbness, and discomfort in the structures of the arm