Yes, cold can sometimes lead to itchy eyes. It is because that a person's eyes, nose, ears, and mouth are all mutually interconnected, and so does the mucosa of each of them. When you get a serious cold, the mucosa of nose and throat will get hyperemia and hydroncus, and this condition will influence the conjunctiva of the eyes -- this is the mucosal inflammation which is midically called the manifestation of Mucosal Catarrh. That is the reason for your itchy eyes when you have a cold. You are advised to see a doctor and take some anti-allergic medicine and see whether the condition weakens. In addition, doing more exercises to make yourself stronger and healthier and to enhance your immune ability.