Parish began his career at Aston Villa Academy. He made his professional debut on loan at Lincoln City in 2011, before a short loan at Cardiff City where he made no appearances. He joined Cardiff on a permanent basis in January 2012, before being loaned out to Wycombe Wanderers later the same year. He was released by the club in 2013 and joined Bristol City, where he went on to make 19 league appearances, and was loaned to Newport County. He later joined Blackpool for one season, and then played for Colchester United for one season, before joining Accrington Stanley. He then signed for Dundee where he spent two seasons. On 20 June 2019, Parish signed for St Johnstone on a two-year contract.