Chris Hackett is one of four players who have been offered a new contract at the Cobblers.
The right-winger has been presented with a deal by first-team manager Chris Wilder, along with first-year professional David Moyo and utility defender Gregor Robertson.
Connor Roberts, who has completed his youth scholarship at the club, has also been offered a full-time contract.
But eight players have been released, with left-back Joe Widdowson and right-back Leon McSweeney leaving Sixfields.
After learning of his departure, McSweeney wrote on Twitter: “Not gonna be a Cobbler next season folks. Hard one to take but proud that I done my job to keep Northampton a football league club.”
Also leaving will be Alan Connell, Gary Deegan, JJ Hooper, Matty Harriott, Claudio Dias and Ben McNamara.
Mathias Doumbe is not in the country but will speak to Wilder about his future when he returns, while Alex Nicholls has been invited to train with the club in pre-season.
Eleven players are already in contract for next season: Matt Duke, Darren Carter, Kelvin Langmead, Lee Collins, Emile Sinclair, Ian Morris, Ben Tozer, Dean Snedker, Lewis Hornby, Ivan Toney and Ricky Ravenhill.