Vilma was suspended by NFL Commissioner Roger Goodell Wednesday. His penalty was the most severe of the four players disciplined by the commissioner. Goodell will hear Vilma's appeal.
The NFL Players Association filed a grievance against the league last week on behalf of the suspended players.
The unpaid suspensions were meted out for the bounty system run from 2009-11 by former Saints defensive coordinator Gregg Williams.
Williams was suspended indefinitely in March. Saints head Coach Sean Payton was given a one-year suspension for his knowledge of the program.