Bring a large pot of salted water to a rolling boil. Add linguine and cook according to package directions, about 9-11 minutes. Reserve 1 cup pasta water before draining—this starch-loaded water becomes your sauce, which is why most thin sauces fail: they skip this step entirely.
While pasta cooks, warm olive oil in a large skillet over medium-high heat. Add minced garlic and let it sizzle for exactly 60 seconds—no longer. I've burned garlic twice in this recipe, and it turns bitter instantly, so watch it like you mean it. The kitchen should smell like a Mediterranean restaurant right now.
Add shrimp to the skillet in a single layer and sprinkle with salt and pepper. Let them sit undisturbed for 45 seconds. Flip and cook the other side for another 45 seconds, then remove to a plate. This timing prevents gray, rubbery shrimp—rushing this ruins the elegant lemon garlic shrimp pasta before it even comes together.
Add 1/2 cup reserved pasta water to the same skillet, scraping up any browned bits from the bottom. This fond has all the flavor you need. Add red pepper flakes and let it simmer for 30 seconds, just enough time to infuse the liquid.
Return shrimp to the skillet along with the drained pasta. Toss constantly for 60 seconds, allowing the starchy water to coat every strand. This is where the magic happens—the sauce isn't cream or oil, it's emulsion between starch and fat, which clings instead of slipping.
Remove the skillet from heat. Add cold butter and squeeze fresh lemon juice directly over top. This off-heat finish protects the lemon's brightness and lets the butter emulsify properly. Toss gently for another 30 seconds until everything glistens without looking greasy—this is how you know the elegant lemon garlic shrimp pasta is working.
Fold in lemon zest and most of the parsley, reserving some for garnish. Taste and adjust salt and pepper. If the sauce feels too thick, add pasta water by the tablespoon until you reach a light, clinging consistency that looks elegant on the plate.