A doctor can remove flat moles on the face, but in most cases will only do so if the mole has turned into melanoma (skin cancer) or if new moles have appeared. Flat moles do not often turn into melanoma. However, if the mole undergoes any of the following changes, reach out to a healthcare provider. Changes color, size, shape, texture, or height Feels hard or lumpy Skin on the mole's surface becomes dry or scaly Starts to itch Bleeds or oozes