Tight end Joey Haynos, a former walk-on at Maryland, was signed off Green Bay's practice squad to take Parmele's spot.
Haynos, who caught 68 passes for 687 yards and four touchdowns during his career at Maryland, is 6 feet 8, 270 pounds.
Tight end Drew Atchison, who was signed to the practice squad less than two weeks ago, was also released, making room for guard Matt McChesney to join the eight-player practice squad.
McChesney began his NFL career as a defensive tackle with the Rams in 2005. He was signed to the Jets' practice squad midway through his rookie season before being activated to the team's 53-man roster for the final three games.
He spent all of 2006 on the Jets' practice squad before being converted to the offensive line during the 2007 offseason. McChesney spent the first two games of the 2008 season on the Jets' practice squad before being released.