Preheat oven to 425 degrees.
Heat olive oil over medium-high heat in an oven-safe pan.
Liberally season both sides of the pork chops with salt and black pepper.
Sear for 3 minutes, flip pork chops and sear for 3 minutes more.
Remove to a baking sheet and finish in the oven to an internal temp of 150 degrees.
Remove and let rest on the pan for 5 minutes.
Deglaze the pan with the wine, simmer for 2 to 3 minutes.
Add cream, broth, tarragon, and mustard in until reduced to ⅓ cup, whisking occasionally, about 10 minutes.
Season sauce to taste with pepper.
Serve pork topped with a generous spoonful of sauce.