Cody first played for Kilkenny as a 16-year-old when he was drafted onto the minor team for the 2017 Leinster Minor Championship. He claimed a Leinster Minor Championship title that season after coming on as a substitute in the 3–15 to 1–17 defeat of Dublin in the Leinster final. After being overage for the minor grade the following year, Cody was added to the Kilkenny under-20 team in 2019. He won a Leinster Under-20 Championship medal that season after scoring two points from play in the 1–17 to 0–18 win over Wexford in the final. Performances at club level saw Cody drafted onto the Kilkenny senior team during the 2020 National League. He made his first appearance for the team when he came on as a substitute for Billy Ryan in a drawn round 4 game with Clare. Cody was later retained on Kilkenny's Leinster Championship panel, and claimed a provincial winners' medal after lining out at left corner-forward in the 2–20 to 0–24 victory over Galway in the 2020 final. Cody won an All Star in 2023.