Galette recorded 20 tackles and three sacks in 16 games with the Redskins last season.
The New Orleans Saints would be open to having running back Adrian Peterson return.
Peterson signed a two-year contract with New Orleans prior to last season, but he appeared in just four games for the Saints.
Free agent Adrian Peterson says he's fully recovered from a season-ending neck injury and wants a chance to make an NFL roster next season.
A decision on Mark Ingram's suspension is due on May 16 after the New Orleans Saints running back appealed the ban.
A decision on the ban for the running back's PED violation is due from an arbiter by May 16.
Veteran running back Mark Ingram – a two-time Pro Bowler – was handed a four-game suspension for violating the NFL's PED policy.
Ingram will be permitted to participate in all of the team's offseason work and training camp as well as the preseason.
Fleener appeared in 11 games for New Orleans last season, catching 22 passes for 295 yards and two touchdowns.
The former Ohio State QB was invited to visit the Colts and drew interest from other teams around the league, as well.