I had a squirrel monkey that loved roaches. He would bite off the head, spit it out, then consume the body.
But a zombie roach will always come back. Ya can’t kill them.
Probably tropical house geckos.
HUMAN eat roaches, in hard times. Carefully roast them first, after removing legs and heads, so as to kill their MANY parasites, same as with any insect. then rub the remander between your hands and drop the “dust” into your soup/stew. they are great protein. They can actually be 'farmed", if you need the protein.