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I don't have one, but your cargo mat just lays in the rear compartment.
The Z06 cargo mats have slits in the rearmost portion so that the mat lays down into the center well - is that what you are having issue with?
On coupes and verts, the outboard cubbies in the rear compartment have lids on them and the cargo mat lays over the top - and on a Z the mat should have accomodations for the open-topped cubbies.
My cargo mat is different than that - I was emailed a pic by another forum member....and it helped me to figure it out. It's a tight fit.....but it's in there. Thanks for your help.