Season the pork chops with salt and black pepper on both sides.
Heat 1 tablespoon of oil in a large skillet over medium-high heat.
Brown the pork chops in hot oil for about 4 minutes per side.
Remove the pork chops from the skillet and set them aside.
Add the remaining oil to the skillet. Sauté onion, celery, and green bell pepper until soft.
Add mushrooms and cook for an additional 5 minutes.
Pour in chicken broth and heavy cream, stirring to combine.
Return the pork chops and their juices to the skillet. Cover and simmer on medium-low heat for 25 to 30 minutes, until cooked through.