Parham has always iced for the Coventry Blaze, be it within the Junior Academy to now with the NIHL Blaze. He would start his career in the U10's at just eight years old.
Parham would ice for the Academy and finish his junior career with the U18's, captaining the side in his final season in the 2022/23 season. That season, Parham would also ice in three games for the NIHL Blaze which would kickstart his senior career.
Last season, Parham would play in his first full senior season. In which, he scored his first Senior Point in the opening Pre-Season game against the Oxford Rising Stars and follow it up with is first Senior Goal in Altrincham. Parham would be awarded the Young Player of the Year Award for Season 23/25.