[6][7] Four years later, Gaich was promoted into their first-team under Claudio Biaggio, making his professional debut on 27 August 2018 during a draw with Unión Santa Fe; he had previously been an unused substitute in an Argentine Primera División fixture with Lanús and for a Copa Sudamericana game against Nacional.

[2][5] Gaich scored his first senior goal in the following September, netting the opener in a 3–2 win over Patronato; which preceded another two appearances later in the Copa Argentina versus Estudiantes.

[5] On 17 July 2020, Gaich said goodbye to San Lorenzo supporters via Fox Sports' 90 Minutos de Fútbol ahead of a potential move to Russian football with CSKA Moscow.

[5] On 30 August 2021, Gaich switched teams and countries again after agreeing to a one-year loan deal with SD Huesca in the Spanish Segunda División.

[15] On 31 January 2023, Hellas Verona welcomed Adolfo Gaich to the team, the Argentinian striker signed a temporary contract until 30 June 2023 on loan from CSKA Moscow.

[34][35] He made his full international bow, aged twenty, in a 4–0 victory over Mexico at the Alamodome on 10 September, having remained on the bench against Chile days prior.