*Club domestic league appearances and goals, correct as of 17:50, 19 April 2024 (UTC) ‡ National team caps and goals, correct as of 13:55, 16 October 2020 (UTC)
Godoy's career began with Club Central Argentino Olímpico, before he was signed by Atlético de Rafaela in 2011.[1]
Atlético de Rafaela
He was moved in their senior squad in April 2018 at the age of sixteen, subsequently being selected for his professional debut by interim manager Víctor Bottaniz [es] on 16 April during a home defeat to Quilmes in Primera B Nacional; he was substituted on in place of Jorge Velázquez with twenty-two minutes remaining.[3][4][5] Godoy netted his first goal in April 2019 against Independiente Rivadavia.[6]
On 26 December 2022, Godoy was transferred to Estudiantes de La Plata in exchange for $700,000 for 50% of his contract, Argentinos Juniors kept the other 50% of his contract in the case of a future sale. Godoy debuted with Estudiantes on 28 January 2023, against Club Atlético Tigre in a 2–1 loss in which he played all 90 minutes. His first goal with Estudiantes was in the 9th minute of Matchday 2 against Arsenal de Sarandí on 4 February 2023, which ended in a 1–1 tie.