Lincoln boss Chris Sutton has transfer-listed Lennell John-Lewis and Shane Clarke.
Danny Hone has also been made available for loan as Sutton looks to make changes to his playing staff.
Both midfielder Clarke and striker John-Lewis have been with the club since 2006 - but are now both deemed surplus to requirements.
"In terms of Lennell and Shane they have a year left but it would be good for them to have a fresh start," Sutton said.
"We put Danny up for loan as next season he would not be first choice.
"We just want him to get out and develop, sitting on the bench here will not do him any favours."
The club have also offered short-term deals to Kern Miller, Nathan Adams and Andy Hutchinson.