A new distinct variety of grapevine named ARRAFOURTEENONE abundantly forms attractive large seedless berries having a purple red skin coloration in large clusters. The fruit displays a natural flavor and is firm in texture. The fruit commonly is ready for harvesting during the end of July in San Joaquin Valley of Central California, U.S.A., and displays good eating qualities as a table grape. The fruit firmness renders the fruit well amenable for handling, shipping, and storage.