Plymouth have offered contracts to seven first-team players, including player of the year Onismor Bhasera and captain Conor Hourinhane.
Manager John Sheridan, who has agreed in principle to remain in charge of the Pilgrims, has also offered deals to Guy Branston, Jake Cole, Paul Wotton and Isaac Vassell.
Tyler Harvey will become a first-year professional but Anthony Charles, Ollie Chenoweth, Jamie Lowry and Jared Sims will be released.
Northern Ireland international Warren Feeney, who has not featured under the former Chesterfield boss due to an ankle injury, is not being retained but will be given the chance to impress Sheridan in pre-season.
Striker Nick Chadwick and goalkeeper Rene Gilmartin have been transfer-listed as Sheridan begins to plan for next season.