Well, you could put the same pan down again in 4 more overlaping locations and call it your custom made Olympic countertop.
Somewhere I heard of using toothpaste
apply with a toothbrush, I suspect it is a bit like bleach and would probably still be detecable after sanding and refinishing.
If you are handy with a router and a wood chisel you could cut out the section to the depth of ceramic or stone tile and set a tile piece into the countertop. You would have a built in "hot mat" for the next time it happens.