Add olive oil to a skillet over high heat. The heat should be significant enough to get the oil hot but not smoking. A quick test is to add a piece of garlic; if it sizzles, you're good to go.
Once the oil is hot, add the minced garlic and sage leaves. Sauté these for about 10 seconds. You'll want to keep an eye on them to prevent the garlic from burning, as it can turn bitter very quickly.
Next, add the skillet gnocchi directly to the skillet. Spread them out evenly and stir gently. Be careful not to overcrowd the pan, as you want them to sear slightly, giving them a bit of texture.
Now, pour in the chicken broth and then add the whipping cream. As you do this, stir everything together to combine all the ingredients. The sauce will start to thicken slightly as it heats.
Incorporate the shredded Parmesan cheese, salt, and cayenne pepper. Stir gently but thoroughly until everything is well mixed. This is where the magic happens, as the cheese melts into the creamy sauce.
Continue to cook, stirring frequently but gently, for about 3 to 4 minutes. Watch for the texture of the gnocchi; they should be soft and tender on the inside while slightly crispy on the outside.
Once cooked, remove the skillet from heat. Top the gnocchi with a sprinkle of shaved Parmesan cheese for an extra touch of flavor and presentation.
Serve immediately. I love pairing this dish with a simple green salad or some crusty bread to soak up that delicious sauce.