The hairs will keep the cowlicks pinned to the bottom because of their mass. You can have a parting hairline if the cowlick is on the front side of the head.
An extension to the variety of cowlicks is the licks which are found at the foundation of the head. They are a nuisance as it grows rather uniquely at a strange angle. It is usually countered by keeping long hairs with the same weight factor coming in again. Many men feel that tapering at the bottom is the best solution to the problem. These Male Hairstyles for Cowlicks are the best a man can have.