Playing as a centreman, Barrot won the Jack Dyer Medal (Richmond's best-and-fairest award) in 1965, was an interstate representative for Victoria, and a major driving force behind the Tigers' 1967 grand final win.

However, Barrot was prone to injury, which limited his senior VFL appearances for the Tigers to just 120 over ten seasons, although he did get a second premiership with Richmond in 1969.

[1][2] In 1971, Barrot was sensationally traded to St Kilda in exchange for two-time Brownlow Medallist Ian Stewart, who would end up winning the 1971 Brownlow Medal with Richmond for his record-tying third medal; sports writer Greg Hobbs claimed Barrot was being offered $10,000 (equivalent to $122,699 in 2022) for a two-year contract (plus bonuses), a very good salary for the time.

However, Barrot never truly settled at Moorabbin Oval, managing just a couple of games, and later in the year he was traded to Carlton Football Club, where he finished his VFL career.

After running seventh in 1973, the Eagles endured a horror start to the 1974 season which ultimately precipitated Barrot's departure, in somewhat acrimonious circumstances, midway through the year.