Drywall – How to access hole behind kitchen cabinets

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Description:
I have cabinets that run along the left hand side of the kitchen. They meet in a corner, where they turn to meet my stove. Within that corner there is no shelving. Just an empty space underneath a countertop. (pictures included)
Also within this empty space, is a hole I need to seal.

Why I'm concerned:
I live in Florida, where palmetto bugs are unfortunately "normal". However if you don't have any holes in your home, you rarely see them. In my new apartment, I see about 2-3 a month, which is too many for me. I knew there must be a hole somewhere. Sure enough (when I pulled out my dishwasher and stove) I found a 3 inch gap between the wall and floor where trim should have been. I sealed the holes.
A few months later, I am still finding palmetto bugs here and there.
I am 99% sure the same gap runs behind the empty cabinet area I can't seem to reach.

Question: In the picture you can see how the countertop has a triangle cut out. I'm wondering if I can somehow remove just that section of the countertop in order to access the hole? If not, any other suggestions?

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Best Answer

Well, my kitchen has a similar corner and it has a cupboard with turning pull-out shelves which make use of the dead space that you have.

So consider taking the nearest cupboard out then dealing with the holes and putting better cupboards back in.