A former scholar and professional with Football League side Burton Albion, the 25-year-old can play at full back or centre half.
The right-sided defender has trained with The Blues throughout Pre-season and will provide Brad Munn with even more versatility and depth in defence.
Cotterill spent last season with Gresley Rovers after spells with Barwell and Belper Town.
Welcome to the Long Eaton, Jayden!