Lamarche began in Santamarina's youth.[3] He was moved into their first-team during the 2017–18 Primera B Nacional campaign, making his professional debut on 11 December 2017 during a defeat to Deportivo Riestra at the Estadio Eduardo Gallardón.[2][4] He subsequently featured five more times for them in 2017–18 as they finished twenty-fifth.[2][5] Lamarche left Santamarina in 2018, subsequently having spells with hometown clubs Botafogo Rauch and Deportivo Rauch in Liga Rauchense.[6][7][8][9]
Ahead of the 2023 season, Lamarche joined Defensores de Ayacucho.[10] As of August 2024, he was still playing for the club.[11]