Coventry born Collett came through City's Academy from a young age and last year signed a one year professional deal after his Academy scholarship finished.
But with no reserve matches, Collett's only games came for City's U18's and like Andy Marshall, he was released.
Neil Collett (left)
He becomes Nuneaton manager Kevin Wilkin's first new signing and Wilkin told the CT: "Neil is a good a signing. He is well regarded and will definitely keep number one Darren Acton on his toes."
Nuneaton look to be playing in the Southern League Premier Division next season after promotion from the Midland Division via the play-offs.
All at Covsupport wish Neil well.