I want to install seat covers on 2003 chevy cavalier.

Tracy, Some just pull straight up and out, there may be a pin hole, lever or button just under head rest which will release and allow head rest to be pulled up or pushed down, it does take some force as they do like to get stuck.
Check the attached links,instruction and guides, Good luck
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most head rest have a lock button to hold and lift the rest off..... or pull up harder my be stuck

99% just pull out, the other s have a button on the seat right at the head rest.

see a plastic cap type thing attached to the seat where the rod of the headrest goes in feel this cap and you wil find a puch button press it and pul the head rest

Head Restraints Removal

1. Unscrew front seat head rest guide rod retainers (610A18) .
   

1. Pull up on front seat back head restraint (611A08) . Compress foam in area of front seat head rest guide rod sleeves (610A16) .
   

1. Remove front seat back head restraint positioning springs. Pull front seat back head restraint up and out.
   

Installation

1. Slide front seat head rest guide rod retainers onto front seat back head restraint posts.
   

1. Compress foam in front seat head rest guide rod sleeve area. Install positioning springs on front seat head rest guide rod sleeves .
   

1. Insert front seat back head restraint posts (notches on posts facing rearward) into front seat head rest guide rod sleeves and push down to engage positioning spring.
   

1. NOTE: Front seat back head restraint must operate smoothly throughout its range of travel, must remain in any fixed position, and must not be freely removable from the seat back. If any of these conditions are not met, check for proper installation of positioning spring onto front seat head rest guide rod sleeve .
   
   Tighten front seat head rest guide rod retainers onto front seat head rest guide rod sleeves .
   

1. Adjust front seat back head restraint by applying hand pressure, either up or down, to center area of front seat back head restraint .
   

raise the head rest all the way up. look at the plastic grommets where the head rest slides in. one should have a small tab you push in the release the head rest while pulling up. good luck!

There should be a small hole in the tube near the base of the head rest. Stick a small nail or a pen in the hole to release the head rest.

There is a latch located behind the head rest on the rear deck area of the car. Good Luck

Try this i found this at another site sounds like it should work


01. Sit in the rear seat facing the front seat you will be removing the head rest from
02. Lean the front seat back so you are looking down at the head rest
03. Pull the head rest up as far as it will go
04. Take a small flat head screwdriver and slide in into one of the holes surrounding the head rest poles
05. Move it around until you feel some resistance (if you're lucky, you might be able to move the fabric a little and actually see the clip you need to remove)
06. Wiggle the screw driver around until the clip pops out (it may take a while, but eventually it will pop out)
07. Repeat steps 4-6 for the second head rest pole
08. Once you get the head rest off, turn it upside down and you will see two very thin metal discs holding the seat belt guide onto the head rest, you need to remove these
09. Take a screwdriver and pry up on the discs
10. Once you get the discs up a little bit, put some soap on the head rest poles
11. Take a towel and start twisting the discs, continue doing this until they

check for a release button between top of seat and the head rest