Heat a 10-inch skillet over medium and add 3 tablespoons of butter until melted.
Add the minced garlic and cook, stirring constantly, about 1 minute until fragrant and lightly golden.
Add the uncooked gnocchi in a single layer and pan-fry, stirring every 2–3 minutes, until gnocchi are golden and crisp on most sides, about 12–15 minutes; reduce heat if they begin to burn.
Lower heat to low, add the remaining butter, lemon zest, Italian seasoning, crushed red pepper flakes (to taste), cracked black pepper, and sea salt; toss to coat and melt the butter.
Remove the pan from heat and stir in the 1/4 cup Parmesan until combined.
Let rest for a few minutes, then serve topped with chopped parsley and extra Parmesan if desired.