I just used a rubber step tread to make a dead pedal I attached to to the carpet in that area under the parking brake.
I did it to our 2011 because my Mom's high heels poked a hole in the carpet so it took care of that problem. Then I added on to the 2012 just to keep the carpet clean.
I am sure that whatever you come up with will be fine if your source it from ebay or somewhere else.
I did not see any posts about installing these so I went ahead and ordered a set on eBay and installed them. They look great and the package was a good price for the set of three. I used the dead pedal and gave the brake & gas pedals to my son for his 2012 Grand.
You can look up “AT Pedal Rest Plate Gas FOR Jeep Compass Grand Cherokee” on eBay to find a set of three for about $37. The quality it very good and while it comes from Hong Kong, it took less than a week to arrive.
I used a small short bit to drill for the six provided screws since it feels like it is plastic behind the carpet. It anchored very well and will protect the carpet. This matches the stock Summit gas and brake pedals pretty well. This is how Jeep should have finished off the interior!