Things I would try
- Tweezers.
- Drill bit. Pre-drill a small hole in the battery; next use a bigger drill bit and hope it hooks when you try to 'drill' it with your han and that way turns the battery so it comes loose.
- Drill bit and additional tools. Basically drill the inners out of the battery till you can manipulate the battery casing; long nose pliers to grab the battery casing and carefully try to twist / pull it out.
Note that if it's severely coroded, it might be 'glued' to the contacts in the battery compartment and pulling the battery out might damage those contacts.