Bring a large pot of salted water to a boil and cook the linguine until al dente, reserving 2 tablespoons of pasta water before draining.
Pat the shrimp completely dry with paper towels and season both sides with sea salt and black pepper.
Heat the olive oil and ghee in a large skillet over medium-high heat until the fat is shimmering.
Add the shrimp in a single layer and sear for approximately 2 minutes per side until they turn pink and opaque, then transfer to a plate.
Reduce the heat to medium and add the minced garlic and red pepper flakes to the skillet, sautéing for 30 seconds until fragrant.
Pour in the lemon juice, lemon zest, and the reserved pasta water, stirring to scrape up any browned bits from the bottom of the pan.
Return the cooked linguine and shrimp to the skillet, tossing thoroughly to coat the pasta in the glossy garlic butter sauce.
Remove from heat, garnish with freshly chopped parsley, and serve immediately while hot.