Bring a large pot of salted water to a boil and cook the linguine according to package directions until al dente.
While the pasta is cooking, pat the shrimp dry with paper towels and season them evenly with sea salt and black pepper.
Heat the ghee and olive oil in a large skillet over medium-high heat until the fat is shimmering.
Add the shrimp to the skillet in a single layer and sear for 1 to 2 minutes per side until they are pink and opaque.
Remove the shrimp from the skillet and set aside on a plate; reduce the heat to medium.
Add the minced garlic and red pepper flakes to the skillet, sautéing for 30 to 60 seconds until fragrant.
Stir in the lemon juice and lemon zest, scraping up any browned bits from the bottom of the pan.
Drain the pasta, reserving a small amount of pasta water, and add the linguine and shrimp back into the skillet.
Toss everything together to coat the noodles in the sauce, adding a splash of pasta water if the mixture seems dry.
Garnish with freshly chopped parsley and serve immediately.