Good dog. I knew the well behaved ones were good for something.
I was about 6 when I learned this, so the memory is foggy, but the proper way to cook possum (or coon) is called "Double boiling". But the double boiling part is a half truth.
If you are going to eat it that day as part of a proper supper, you boil the meat first. This losens a lot of the fat and the "wild" from the connective tissues. Then you deep fry it and eat it like you would anything deep fried. Lots of texture of texture from the crispy batter and salt. Use a flavored oil like peanut and drink beer with it.
If you are going to stew it or put it in a pie you reverse the process. Fry it first at low tempature with no batter. The lard does its best to replace the "wild" fat. Let it drain.. Then boil. drain. put it a pot or pie and add LOTS of onions, cloves, rosemary or any other aromatic you like. Its not bad, but chicken is a lot easier to prepare and more reliable.
Good dog. Smart Dog. I wish they all were trained like that.
Edit: Recipe also applies to groundhog, which is where this conversation with my grandmother started after the family dog brought one to the front steps and I asked in awe what should we do now, and she told me to bury it and I wanted a different answer that involved less work