The Imps failed to make the play-offs in the recent campaign and although he has no urgency to step down from his role, Wright is open to talks with any interested parties.
"Lincoln City FC is not a closed shop," he said. "Myself and the board are keen for new directors to come on board, invest in the football club and, if they have the desire and ability to take over the chairman's role, then the door is open to them.
Wright has also moved to defend manager Peter Jackson, whose decision to award contracts to experienced quartet Frank Sinclair, Stefan Oakes, Geoff Horsfield and Kevin Gall failed to elevate the club into League One and attracted criticism from sections of the supporters.
"Peter has expressed his disappointment with all (those) players, all of whom on paper were good signings," he added.
"Signings don't always work out the way the manager plans them."
Meanwhile, striker Ben Wright, who Jackson released two weeks ago, has signed a one-year deal with Macclesfield.