On 4 April 2014, Barrett's promotion to vice admiral and selection to succeed Ray Griggs as Chief of Navy (CN) was announced, to take place mid-year.[6] He was subsequently advanced in rank during a ceremony presided by General David Hurley on 24 June, and assumed command as CN six days later.[7] Barrett transferred to the Royal Australian Navy Reserve on 1 September 2018,[8] and was succeeded as CN by Vice Admiral Michael Noonan.
Barrett played a key role in choosing Britain's Type 26 Frigate offering before later becoming a paid advisor to BAE Systems Australia - the builder of the ship.[9]