The outside linebacker was informed of his release on Tuesday, the team announced.
"I definitely want to make the vets here proud, and make the front office and coach (Mike) Vrabel and all the coaches out here proud for selecting me in the draft," Landry told the team's official website last month. "So every day I definitely come out here and bust my ass because I want to definitely make an impact as a rookie and be able to help this team win a Super Bowl."
Dodd -- avoiding the club at all costs this offseason -- took an opposite approach and paid the price. With just one sack over two pro campaigns, Dodd's career is on the ropes.