Chosen Solution
The top of my case became dented while traveling. I know the top left is easy to remove, but I also need to reach the right. I am wondering if I have to remove the power supply, optical drive, etc. or if there is an easier fix.
For the top right cover, you do not need to remove any components in order to take it off. To take it off there is one screw in the back, two screws which you will be able to see when you pop off the hard drive cover. You will need a spudger to unclip the cover (the front side closest to the PS4 logo). Skip to skip 18 for more information on how to remove it: PlayStation 4 Teardown