Ortiz's first club of his career was Newell's Old Boys. After coming through the youth ranks at the club, he made his first-team debut on 29 November 2011 in a Copa Argentina match against Patronato.[1] His league debut came on 9 March 2012 versus Colón. He went onto make thirty-nine appearances for Newell's in his next four seasons.[1] On 16 January 2015, Ortiz joined Aldosivi of the Argentine Primera División on loan.[3] He made his bow for Aldosivi on 17 March in the league against Belgrano, prior to scoring the first goal of his career in August versus San Martín.[1] In total, Ortiz played thirty-five times before returning to Newell's.[1][4]
In July 2016, Ortiz joined Primera División side Colón on loan.[5][6] His debut for Colón was on 30 August against his former club, Aldosivi.[1] In total, he went onto make twenty-seven league appearances for the club.[1] He joined permanently at the end of his loan spell.[7] Ortiz remained with Colón for three further seasons, before departing in January 2020 to Atlético Tucumán.[8]
In 2023, he played for Newell's Old Boys on loan from Godoy Cruz. In 2024, he was again loaned out to Chilean club Audax Italiano.[9]