Pat the pork chops dry with paper towels and season generously with salt and pepper on both sides.
Heat the olive oil over medium-high heat in a large skillet or Dutch oven. Once hot, add the pork chops.Sear the chops for 3-4 minutes per side or until they develop a deep golden-brown crust. Remove the chops from the skillet and set aside. In the same skillet, add the sliced onions and minced garlic—Sauté for about 5 minutes or until the onions are soft and translucent.
Pour in the white wine, scraping up any browned bits from the bottom of the skillet with a wooden spoon. Let the wine simmer for 2-3 minutes to reduce slightly.
Add the chicken broth to the skillet and bring to a simmer. Return the pork chops to the skillet, nestling them into the onions. Scatter the fresh sage leaves over the top.
Reduce the heat to low, cover the skillet, and let the pork chops braise gently for 45 minutes to an hour, or until the meat is tender and cooked through.
For a richer sauce, you can swirl in a tablespoon of butter at the end of the cooking time.
Serve the braised pork chops hot, garnished with additional fresh sage if desired. Pair with sides such as mashed potatoes, rice, or roasted vegetables to soak up the flavorful gravy.