Brazier was born at Cudham in Kent in 1755, a village 6 miles (9.7 km) north-west of Sevenoaks.
[1] He made his first-class cricket debut in 1774, playing for a Kent side against a Hampshire XI at Sevenoaks Vine.
He went on to play in a total of 50 first-class matches in a career which lasted until 1794, scoring 1,216 runs and taking at least 42 wickets.
[c][5] Although he played for a left-handed team in 1790, Scores and Biographies says that Brazier was a right-handed batsman who bowled fast and was a powerful hitter.
[6] He was a "useful all-rounder" who "hit the ball particularly hard" according to Ashley Mote[7] and James Pycroft, writing in 1851, described him as one of Kent's three best players.