[2] Núñez's mother, a dentist, and father, a lawyer, attended school at the University of Havana while Fidel Castro was a student there.

In addition to his work with Shock, Núñez appeared in theater in New York and Washington, D.C. before moving to Los Angeles in the mid 1990s.

Núñez's television credits include Malcolm in the Middle, 24, Curb Your Enthusiasm, Reno 911!, The District and Mad TV, in addition to his role on The Office.

He was also the creator and executive producer of the Comedy Central series Halfway Home, in which he co-starred as the character Eulogio Pla.

In 2009, Núñez played the role of Ramon, the caterer, stripper, soda jerk, and finally clergy performing the wedding ceremony in The Proposal.

[9] In 2014, Núñez co-starred alongside Eliza Coupe and Jay Harrington in the short-lived USA Network comedy series Benched.

[11] In July 2018, Núñez took on the role of Desi Arnaz, starring in the world premiere production of I Love Lucy: A Funny Thing Happened on the Way to the Sitcom, a behind-the-scenes stage comedy about I Love Lucy by Gregg Oppenheimer (son of series creator Jess Oppenheimer).

Recorded before a live audience at the UCLA's James Bridges Theater, the L.A. Theatre Works production aired on public radio and has been released on Audio CD and as a downloadable mp3.