Heat olive oil in a cast iron or heavy skillet. Over medium-high heat, fry the pork chops for about 5-7 minutes per side. If the pork chops are quite thick I usually pan fry to get a nice sear on both sides, then transfer to a baking dish to finish cooking in a 350º F preheated oven. Cook until the chops reach an internal temperature of 160º F.
Remove the pork chops from the skillet and transfer to a baking dish. Keep warm in the oven while you prepare the sauce.
Using the same skillet, add the sliced mushrooms and cook until golden brown. Add more oil or butter to the skillet if necessary.
When the mushrooms are almost done add the shallots and garlic to the pan. Cook until tender.
Add the brandy to deglaze the pan.
Stir in the heavy cream and simmer until the sauce has thickened a bit.
Gradually stir in the chicken stock a bit at a time until the sauce gets to desired consistency.
Season with salt and pepper.
Add the pork chops back to skillet. Cover and simmer for an additional 4-5 minutes.
Garnish with chopped chives and serve with your favorite side dish.