Put the sliced Cajun smoked sausage in a large skillet while the skillet is still cold. Turn on the heat and cook, stirring occasionally, until the sausage has rendered some fat and the edges are browned and crisp.
Transfer the sausage to a paper towel-lined plate, leaving the flavorful drippings in the skillet.
Add the gnocchi directly to the skillet, breaking apart any pieces that are stuck together. Cook in the sausage drippings for about 4–5 minutes, stirring occasionally, until the gnocchi starts getting golden and a little toasty.
Add the cream-style corn. Fill the empty corn can about one-quarter of the way with water, pour that into the skillet, and stir.
Stir in the diced green chiles and drained pimentos. Season with black pepper and garlic powder to taste.
Fill the empty corn can about halfway with heavy whipping cream. Pour it into the skillet, stir well, and let everything simmer for a couple of minutes, until the sauce reduces a bit and starts to thicken.
Return the browned sausage to the skillet and stir to combine.
Add the freshly grated sharp cheddar and stir until it has melted into the sauce and everything is creamy. Serve warm.