Cooper, 33, has been with the Pikes since August 2014, making more than 150 appearances.
Also leaving the club are Alex Knox, Elliot Holmes and Alex Laird, as well as Adam Jones and Lloyd Henderson who joined the club in February.
Goalkeeper Harrison Foulkes returns to Hull City following his loan spell.
Keep up-to-date with our exclusive email newsletters.
Digital advertising by Minute Media
© Pitch Hero Ltd 2008-2020
Pitch Hero Ltd Registered in ENGLAND | WF3 1DR | Company Number - 636 1033