Born in Rawalpindi, Punjab, British India where his father was based on military service,[4] he played on either wing and appeared four times for the England national team.
Quantrill helped Derby gain promotion to Division One in his first season at the club, but his career was soon interrupted by the First World War.
Quantrill returned to health and retained his place in the Derby team when league football resumed.
In 1921 Quantrill was transferred to Preston North End, playing in a forward line also including Tommy Roberts, Rowland Woodhouse and Archie Rawlings.
Quantrill played in 64 games for Preston before leaving in 1923 to join Bradford Park Avenue.