[1] He finished his youth training period in 2014, being immediately assigned to the C-team in Tercera División.
Muñoz was called up by the reserves in late September 2014, and made his debut for the side in a 3–0 home loss against SD Amorebieta in the Segunda División B.
[4] On 19 July 2017, Muñoz was loaned to Lorca FC, newly promoted to Segunda División, on a one-year deal.
[6] Muñoz returned to Alavés for the 2019–20 season, and made his La Liga debut on 21 December 2019, starting in a 4–1 away loss against FC Barcelona.
[9] On 16 June 2023, Muñoz signed a two-year contract with UD Las Palmas, newly-promoted to the top tier.