Born in Isla, Cantabria, Cabanzón joined Racing de Santander's youth setup in 2013, aged ten.
[1] He made his senior debut with the reserves on 5 September 2021, coming on as a half-time substitute in a 2–0 Segunda División RFEF home loss against Real Sociedad C.[2] Cabanzón made his first team debut on 6 October 2021, in a 2–1 home win over Arenas Club de Getxo for the year's Copa Federación de España.
[3] He featured in nine league matches for the main squad during the season, as Racing achieved promotion to Segunda División; on 19 July 2022, he also renewed his contract for the following two years.
[4] Cabanzón made his professional debut on 8 January 2023, starting in a 1–1 away draw against UD Las Palmas in the second division.
[5][6] He scored his first professional goal on 5 February, netting the equalizer in an away draw against SD Ponferradina for the same scoreline.