The team announced the move Tuesday.
The 26-year-old Seattle native played for the Huskies through the 2006 season.
Stanback caught two passes in 10 games and returned 13 kickoffs in two seasons with Dallas, which drafted him in the fourth round in 2007. The Cowboys cut him after training camp last season.
New England signed him to its practice squad in September. He joined the active roster in November and played in six games, with two starts.
The Patriots released him on Thursday.