He is known for having been appointed Chief for National Defense of Santiago Metropolitan Region by President Sebastián Piñera during the state of emergency that he decreted in 2019–20 riots famously known as Estallido Social de Chile.

[8] He is the second of six siblings and nephew of the also militar Pablo Iturriaga, Cautín Province Mayor in 1974[9] involved in human right violations cases during Augusto Pinochet's dictatorship (1973–1990).

[15] In 2017, Iturriaga gained notoriety during January wildfires in Chile where he assumed the control of military forces in the town of Santa Olga.

[21] On 23 October 2020, participated in the unveiling of the bust of Peruvian Colonel Francisco Bolognesi at Escuela Militar,[22] ceremony that was attended by Jaime Pomareda Montenegro, Ambassador of Peru in Chile.

[22] There, according the Government of Peru, «(...) Iturriaga extensively referred to Peruvian hero bravery and his value as a source of inspiration and an example of the fulfillment of duty for young cadets who are studying at (Chilean Army's) Military School».