Bertie Cozic and Scott Golborne have been offered new terms, while defender Joe Heath, 21, has signed a deal after being with City on non-contract terms.
Rob Edwards and Marcus Stewart remain with the Grecians as coaches, but have yet to determine their playing futures.
Manager Paul Tisdale told the club's website: "They will be with us in some capacity.
"I see no reason why they won't be able to play, it would be ridiculous not have them available."
Source: BBC Sport
Source: BBC Sport