During the 1940s and 1950s, he was voted best drummer in the Melody Maker poll for seven years in succession. He composed many television themes, including Love Story (for which he won the Harriet Cohen Award), Father Brown, The Golden Shot and Family Fortunes. He was a regular judge on the ATV talent show New Faces. He was also the musical director for The Benny Hill Show.
He was appointed musical director for ATV in 1956, a post he held until 1981, and served as the 'real' conductor for The Muppet Show orchestra for the entire series and even composed the bombastic brass score theme to ITC Entertainment.
From 1991 until he died, Parnell was part of the Norfolk-based Mike Capocci trio, with Mike on piano and Mike Harris on the double bass. They backed the likes of Tubby Hayes, Ronnie Ross, Kathy Stobart and Johnny Griffin.
- "Obituary". Telegraph.co.uk. 2010-08-09. Retrieved 2011-10-23.
- "The Dead Rock Stars Club 2010 : July to December". Thedeadrockstarsclub.com. Retrieved 30 September 2014.
- ITA Journal, Volume 34, page 39 (2006)
- "Jack Parnell – master of many trades" article by Louis Barfe at Sounds On
- The Jack Parnell Orchestra big band line-ups from 1951 to 1958