Giaccone started his career with 9 de Julio at the age of three, before having stints in San Francisco with Los Andes, aged six, and Sportivo Belgrano.[2][4][5] In January 2017, Giaccone joined the academy of Rosario Central at the age of fifteen; having had a trial in the preceding December.[5] In August 2020, the attacking midfielder signed his first professional contract.[6][7] He made the first-team's substitute's bench on 2 January 2021 for a win over Defensa y Justicia, though wasn't selected to come on in the Copa de la Liga Profesional.[8] Giaccone's senior debut arrived on 9 January in the same competition against Lanús.[1][9]
Giaccone represented Argentina at U18 level.[11] He was selected for Esteban Solari's preliminary squad ahead of the 2019 COTIF Tournament in Spain; though didn't make the final cut.[12][13] He also received a call-up from the U20s at around that time, though Rosario didn't let him join up with the squad.[14]
Personal life
Giaccone is the son of football manager Ariel Giaccone, who managed Sportivo Belgrano whilst his son was on their academy books.[15]