Harrison John Palmer (born 13 October 1996) is an English former first-class cricketer. Palmer made his debut in first-class cricket for Cambridge MCCU against Essex at Fenner's. He played first-class cricket for Cambridge MCCU until 2018, making a total of five appearances. He scored 123 runs in these matches, with a high score of 32. In addition to playing first-class cricket, Harrison also played minor counties cricket for Hertfordshire in 2016, making four appearances in the Minor Counties Championship.