Born in Navalmoral de la Mata, Cáceres, Extremadura, Carlos Isaac joined Atlético Madrid's youth setup in 2015 at the age of 17, from CD Diocesano.
[2] He made his senior debut with the reserves on 10 September 2017, starting in a 1–1 Segunda División B home draw against Celta de Vigo B.
[5] On 29 August 2020, free agent Carlos Isaac agreed to a three-year deal with Deportivo Alavés, being immediately loaned to Segunda División side Albacete Balompié for the season.
[6] Roughly one year later, he moved to fellow second division side Real Oviedo also in a temporary deal.
[9] On 31 July 2024, Carlos Isaac terminated his link with Albacete[10] and signed a one-year deal with fellow second division side Córdoba CF the following day.