Fitzgibbon first came to prominence as a hurler with C.B.S. Charleville. Having played hurling in every grade during his time at the school, he usually lined out in the forwards on the senior team in the Harty Cup.
University College Cork
On 23 February 2019, Fitzgibbon lined out at left corner-forward for University College Cork when they faced Mary Immaculate College in the Fitzgibbon Cup final. He scored a point from play in the 2-21 to 0-13 victory. Fitzgibbon played in a second successive Fitzgibbon Cup final on 12 February 2020. Lining out at midfield, he ended the game with a second successive winners' medal after scoring two points from play in the 0-18 to 2-11 defeat of the Institute of Technology, Carlow.
Charleville
Fitzgibbon joined the Charleville club at a young age and played in all grades at juvenile and underage levels. On 7 June 2014, he made his championship debut in a 0-20 to 0-14 defeat of Milford. Charleville subsequently reached the final, however, they lost to Fermoy by a single point. Charleville qualified for a second successive final in 2015, with Fitzgibbon scoring 1-09 in a 5-24 to 1-10 defeat of Dripsey. Fitzgibbon has also been selected for divisional side Avondhu and University College Cork in the senior championship.
Cork
Minor and under-21
Fitzgibbon first played for Cork at minor level in 2015, however, his sole season in the grade ended without success with a defeat by Limerick. On 23 June 2016, Fitzgibbon made his first appearance for the Cork under-21 hurling team in a seven-point defeat by Limerick. He also played in Cork's unsuccessful championship campaign in 2017. On 4 July 2018, Fitzgibbon won a Munster medal after leaving the field injured in Cork's 2-23 to 1-13 defeat of Tipperary in the final. On 26 August2018, he scored a point in Cork's 3-13 to 1-16 All-Ireland final defeat by Tipperary in what was his last game in the grade. Fitzgibbon was later nominated for the Team of the Year.
Senior
Fitzgibbon made his senior debut for Cork on 11 February 2017 in a National League defeat of Clare, before making his first championship start later that season in a Munster Championship quarter-final against Tipperary. Fitzgibbon was a regular starter for Cork's subsequent championship games. On 9 July 2017, he won his first Munster medal following a 1-25 to 1-20 defeat of Clare in the final. On 1 July 2018, Fitzgibbon won a second successive Munster medal following a 2-24 to 3-19 defeat of Clare in the final. At the end of the championship he was named on The Sunday Game Team of the Year. Fitzgibbon ended the season by winning an All-Star Award while he was also a Young Hurler of the Year nominee.
