Founded in 1965 as Antiguos Alumnos Escolapios by members of the Escolapios de Pozuelo college, the club was renamed Club Deportivo Calasancio de Antiguos Alumnos in 1977.[2][1] In 1984, they switched name to Club de Fútbol Escolapios Calasanz, before another new name, Agrupación Deportiva Calasanz de Pozuelo, was established in 1997.
In 2021, Calasanz was renamed to Agrupación Deportiva Cala Pozuelo. In 2024, the club achieved a first-ever promotion to Tercera Federación.[3]