 Parkin played in Wakefield Trinity's 9-8 victory over Batley in the 1924–25 Yorkshire Cup Final at Headingley Rugby Stadium, Leeds on Saturday 22 November 1924, and played in the 3-10 defeat by Huddersfield in the 1926–27 Yorkshire County Cup Final during the 1926–27 season at Headingley Rugby Stadium, Leeds on Wednesday 1 December 1926.Parkin played in Wakefield Trinity's 3-29 defeat by Australia in the 1921–22 Kangaroo tour of Great Britain match at Belle Vue, Wakefield on Saturday 22 October 1921.Parkin won caps for England while at Wakefield Trinity in 1921 against Wales, Other Nationalities and Australia, in 1922 against Wales, in 1923 against Wales, in 1924 against Other Nationalities, in 1925 against Wales, in 1926 against Wales and Other Nationalities, in 1927 against Wales, in 1928 against Wales (2 matches) and won caps for Great Britain while at Wakefield Trinity in 1920 against Australia (2 matches) and New Zealand (3 matches), in 1921-22 against Australia (2 matches), in 1924 against Australia (3 matches) and New Zealand, in 1926-27 against New Zealand (2 matches), in 1928 against Australia and New Zealand and in 1929 against Australia (2 matches).