Pat the pork chops dry with paper towels. Season both sides generously with salt and black pepper.
Heat 1 to 2 tablespoons of olive oil in a large skillet over medium high heat.
Once the oil is hot, add the pork chops to the pan in a single layer.
Cook the pork chops for about 3 to 5 minutes on the first side. To help keep them flat and prevent the edges from curling, place a plate or small pan on top of the pork chops to gently weigh them down.
Flip the pork chops and cook another 3 to 5 minutes until both sides are golden brown.
Remove the pork chops from the pan and set them aside on a plate. Do not wipe out the pan.
Reduce the heat to medium low. Add 1 cup of water and 1 teaspoon of chicken bouillon to the skillet.
Using a spoon or spatula, scrape up the browned bits from the bottom of the pan. These pieces add incredible flavor to the sauce.
Stir in the Creole mustard and dried tarragon.
Season lightly with additional salt and pepper to taste.
Pour in the heavy whipping cream and stir to combine.
Let the sauce simmer gently for about 4 to 5 minutes, allowing it to reduce and thicken slightly.
Return the pork chops and any juices from the plate back into the skillet.
Spoon the sauce over the pork chops and let them warm through in the sauce for a minute or two before serving.