Career
He played as an outside right. Grozier was born in Rutherglen, South Lanarkshire. He played for his local Junior club, Rutherglen Glencairn, before coming to England to play for Plymouth Argyle, for whom he made his debut in the Football League in April 1928.
He made 223 appearances for the club in all competitions, and was a regular choice for the first team for six seasons from 1929-1930 onwards.
His last appearance for the first team came in October 26, 1935, with a 2-0 defeat, after which he retired. He died in 1960.