 On December 15, 2013, Parker broke up a pass and made his first career interception in the Chiefs' 56–31 victory at the Oakland Raiders in Week 15.Parker made his first career interception off a pass attempt by Raiders' quarterback Terrelle Pryor, that was originally intended for tight end Nick Kasa, and returned it for a 15-yard gain in the fourth quarter.In Week 17, Parker earned his first career start and collected a season-high six solo tackles, broke up two passes, and intercepted a pass by Philip Rivers during a 27–24 loss at the San Diego Chargers.