Pollitt made his first-class debut for the North in 1847 against the Marylebone Cricket Club.
In 1850, he made his debut for a Middlesex side in a County match against Surrey.
Pollitt played one further match for Middlesex against the Marylebone Cricket Club in 1851.
In 1850, he played a single first-class match for a Hampshire team against an All-England Eleven.
In 1851, Pollitt made his debut for the Marylebone Cricket Club against Sussex.