Born in Zaragoza, Aragon, Azón joined Real Zaragoza's youth setup from UD Amistad. He spent the 2018–19 season on loan at EM El Olivar after nursing a knee injury, but returned to the side ahead of the 2019–20 campaign, also playing in the UEFA Youth League.[1]
Azón scored his first senior goal on 16 December 2020, netting the opener in a 2–0 away win against Gimnástica de Torrelavega, for the season's Copa del Rey.[4] His first league goal came on the following 2 January, as he netted the equalizer in a 1–1 draw at FC Cartagena.[5]
On 14 January 2021, Azón renewed his contract until 2024.[6]
In 2024, in a test match against Hamburger SV (2:6) he scored a goal.