Over an extensive career, Sarmiento has had a close working relationship with David Guerrero, the chairman and chief creative officer of Proximity's sister agency BBDO Guerrero Ortega.
Guerrero said: "I worked with Tony in the '90s while at Ogilvy, then at BBDO, then again at Proximity when he returned from a stint in Malaysia. We go back a long way."
He added: "Tony has worked hard for the past two years, building Proximity into what I believe is now the best digital agency in the country. But there comes a time when people feel the need to do something different, and we wish him well for the future."
Guerrero will run Proximity's creative department during the search for a permanent successor.