A cold-water compress can relive the itch and have a soothing effect on your eyes. Simply take a clean cloth, soak it in cold water, and apply to closed itchy eyes, repeating as often as needed.Remedies for irritation in the corner of the eye. Artificial tears. Sometimes all it takes to relieve the itchiness of dry eyes is an over-the-counter eye drop known as artificial tears. Cold compress. A damp, cold compress across your closed eyes can help soothe the itchiness. Hot compress. Tea bags.