Tenaglia began his youth career with Argentino de Saladillo, prior to becoming a member of the
Boca Juniors system and then having subsequent spells with Deportivo La Lola and Huracán de Saladillo. In 2014, Tenaglia joined
Atlanta. Two years later, in October 2016, he made his senior career debut during a
Primera B Metropolitana fixture with
San Telmo. He made nineteen league appearances in
2016–17 as Atlanta reached the promotion play-offs, before losing in round one to
Deportivo Español; which was Tenaglia's final game for the club, he was sent off in the 89th minute. Tenaglia made his debut for Talleres on 10 December 2017, in a 2–0 victory away to
Colón in the
Argentine Primera División. He scored his first goal on 29 September 2019, netting his team's first in a 3–2 away loss against
Independiente. On 12 January 2022, Tenaglia was loaned to
La Liga side
Deportivo Alavés for 18 months. On 20 August 2023, after helping the club in their
return to the top tier, he signed a permanent four-year contract. ==Career statistics==