Brannan who has had major success at Tranmere and Motherwell has also appeared for Manchester City and more recently Accrington Stanley in the conference.
Upon his release from the Interlink Express Stadium, Brannan had been training with MFC and only due to the current ruling regarding loanees stopped him signing earlier.
Brannan will wear squad number 25 and is expected to be included alongside recent returner John Hardiker in the squad to face Cambridge Utd at Christie Park on saturday