Stephen Ward and Anders Lindegaard have not had their contracts renewed, while 35-year-old Jonathan Walters announced his retirement from Burnley in March following constant Achilles tendon woes.
Peter Crouch joined Burnley from Championship side Stoke City in the January transfer window is set to be a free agent.
"Former England international Crouch is out of contract, having joined the Clarets on a short-term deal in January," the club said in a statement.
"Discussions between himself and the club are set to follow over whether the striker will remain at Burnley next season."
Crouch won the FA Cup with Liverpool in 2006 and has represented clubs including Tottenham Hotspur, Aston Villa, Southampton and Stoke City during his long soccer career.
He has scored more than 100 Premier League goals since making his senior debut in 1998.
Burnley also confirmed they had activated clauses in the contracts of winger Aaron Lennon and full-back Phil Bardsley to keep them at Turf Moor until 2020.
Read more: Bayer Leverkusen looking to sign Fulham striker in the summer