This depends on your experience with similar tasks and the wear on the linkage.
The shift cable on an 01 Chevy Cavalier is replaced by removing the retaining screws, removing the cable from the shifter, and pulling it from the vehicle. A new cable can then be locked into place and bolted down.
To change the shift linkage in an 1998 automatic Chevy Cavalier the shift linkage needs to be removed from the transmission and pulled from the cabin. The job requires removing the floor console to access the cable. After doing the so the cable can be snaked from inside the cabin, the install is the reverse of the removal.
The 2001 Chevy Cavalier automatic transmission shift linkage is held in place with a swivel nut on each end of the shift linkage. Turn the swivel nuts to the left and the shifting linkage will come off. Reverse the process to install your new shift linkage.
It just pops off... Use a screwdriver to pry it off.
http://www.gmpartscheap.com/seccat/cavalier-697/2003/shift-boot-41002/124/
The shift link cable could be broken, or the 1st/2nd shift fork, inside the transmission, could be damaged.
On the chevy solenoid, you may be looking for the shift solenoid, and wondering where it is. The shift solenoid on this car is located inside the motor.
The adjustment is on the shift cable that is connected on to the top of the transmission
92 cavalier 31 clutch has to be on floor and still shifts hard
Is this a standard transmission, or an automatic? automatic
where is the shift solenoid valve (2-3) located on 2000 chev cavalier
easy by installing it