How to Make It
Cook oil, butter, and garlic in a large skillet over medium-high, stirring often, until garlic is aromatic and slightly softened, 3 to 4 minutes. Add squash noodles, salt, and pepper; cook, tossing and stirring mixture often, until noodles are slightly softened but not mushy, 4 to 5 minutes. Add all but 2 tablespoons of the cheese, 1 tablespoon of the parsley, and 1/2 teaspoon of the zest; toss to combine with noodles.
Arrange noodle mixture on a platter; sprinkle with remaining 2 tablespoons cheese, 1 tablespoon parsley, and 1/2 teaspoon lemon zest. Serve hot.