Where is the setting for negative extrusion in Blender. In case I have the name wrong, this extrudes non-existence, ie you extrude back through an object to make a hole. I can make a pit (hole partway into material), but if I go through the other side it just starts to positive extrude from the back. I can't find the option to remove mesh and make holes.
Maybe your question is not precise enough. For example you can make holes with booleans, or simply with W (Specials) > Bridge Edge Loops:
If you're looking for the same as the Push-Pull tool in Sketchup, it was an addon called Destructive Extrude in 2.7. It looks like it's not ready for 2.8 yet: https://blender.community/c/rightclickselect/Qlcbbc/
As explained in the video, once you've installed the addon, shortcut alt E.