The definition of Marriage in astrology is ‘Union of body, mind and soul’. And to this end, parent’s permission is not required. If you are talking of legality of marriage, you can go to the nearest Registrar’s office and get your marriage registered. As regards social marriage, you need the approval of all concerned. You are welcome to select any one of them. Read my blog for more details.
Astrology cannot give you an answer to your specific question. Love before marriage is only infatuation. In fact love comes after marriage. Very Good that you respect your parents’ wishes. Best of luck to you.