It is understood that Leeds would let the 21-year-old leave the club either on loan or for a small transfer fee.
Parker, who spent three months on loan at Darlington last season, has fallen down the pecking order at left-back and did not feature in the squad for Leeds' visit to Brighton last weekend.
Parker's chances of first-team action look even more limited now after the arrival of on loan Stoke full-back Carl Dickinson.