Heat the olive oil in a heavy skillet at medium high and sear the pork chops on both sides until they are a light, golden brown. Add the garlic and cook on low until it’s soft. Pour the tomatoes over the top, add 1 Tablespoon of the basil and simmer for about 15 minutes.
While the pork chops are cooking, cook the gnocchi according to the package instructions.
When the gnocchi is cooked, drain in a colander and let set for a couple of minutes. Return to the pan and toss with the butter, adding the remaining basil and about 1/4 cup of the parmesan. Set aside.