Depends. If it is simply sun-damage, some topical treatments or some laser treatments may a good option. However, if the lesion is concerning for melanoma, it needs to be biopsied. Melanomas are screened by the abcd's: a-asymmetry; b-irregular borders; c-different colors; d-diameber >6mm (size of pencil eraser). If you notice a mole with these characteristics, get it checked out asap.
Biopsy. Rather than thinking about removing it, make sure it is benign first. This can be done by seeing a plastic surgeon or dermatologist. A biopsy may be in order.