Pat the pork chops dry with paper towels. Season both sides generously with salt and black pepper.
Dredge the chops in flour, shaking off the excess.
Heat vegetable oil in a large skillet over medium-high heat. Fry the pork chops until golden brown on each side, about 4 minutes per side. Remove and set aside.
In the same skillet, add the onion and garlic. Sauté until softened.
Whisk in the chicken broth and bring to a simmer, scraping up the browned bits from the bottom.
Add the heavy cream, then return the pork chops to the skillet. Nestle in the sliced potatoes.
Cover and simmer on low heat until the pork chops are tender and the potatoes are cooked through, about 35 minutes.
Garnish with parsley and serve hot with the gravy spooned over the top.