Gently tie one end to a railing or something else handy, stretch the cable out its full length (again gently, don't try to pull the kink out), and untwist until the kinks and tension are gone. Coil normally and have a nice day
I find if I coil slowly, the kinks twist their way out on their own; however, if I coil too fast, they get all gathered up in the cable and it turns into a knotted mess