The Eagles are nearly guaranteed to get rid of Juqua Parker one way or the other. Parker, who turns 32 in less than a month, is scheduled to make $2.3M this year (nearly double his salary from last year). The Eagles added 3 DEs in the draft and acquired Darryl Tapp via a trade with Seattle earlier this offseason.
Trent Cole is the undisputed starter at right defensive end. Tapp has likely already leapfrogged Parker on the depth chart and should begin the season as the starting left defensive end. Tapp is younger and better against the run than Parker. After Tapp and Cole, we have Abiamiri, Graham, DTO (man I hope that name sticks) and Sapp besides Parker.
Parker is the odd man out. They've already invested a lot in Graham, and the Eagles thought highly enough of DTO to take him in the third. Sapp isn't a guarantee to make the team by any stretch of the imagination, but he's not competing with Parker for a spot. Sapp is an edge pass rush specialist.
Don't be surprised if Parker is dealt in the near future. There may be a small chance Parker makes it into the regular season as an Eagle, but if he does, I'd be incredibly surprised if he isn't traded by the trade deadline. The combination of his age, salary, and our new additions from the draft have made him expendable. If offered a player or a pick in next year's draft, the Eagles should absolutely jump at it.