[3] Past principals include Millie Fornell (2000–2005), Connie Navarro (2005–2011), and Nery Fins (2011–2023).
The current principal is Adrian M. Sánchez (2023–present) The school was named after Father Félix Varela (1788–1853), a Cuban Roman Catholic Priest, human rights advocate, teacher, and an admired figure throughout the Cuban American exile community.
Principal Connie Navarro had installed extra counselors to assist the students in case they had any trauma.
[6] The school offers Advanced Placement (AP), university preparatory, and dual enrollment programs.
The varsity sports program began with the 2001–2002 school year alongside its first junior class.
Varela also has an Alethic Training program students can join to actively learn about the field of sports medicine.