In lg skillet, over med-high heat, heat 1 tbsp oil, brown pork chops. Transfer chops to a 4-quart slow-cooker.
In same skillet, heat oil and cook onions till tender. Stir in green bell pepper and mushrooms. Cook until veggies are soft. Stir in pasta sauce, diced tomatoes w/ juices, and broth. Season w/ italian seasonings and basil and garlic.
Pour sauce over chops. Cover, cook on low for 7 hrs. To serve, place 1 chop on a plate, place a slice of mozzarella cheese over chop, cover w/ sauce.