Pat the shrimp dry and season lightly with salt and pepper.
Heat olive oil in a large skillet over medium-high heat. Add the shrimp and cook for 1–2 minutes per side until pink and slightly golden. Remove and set aside.
In the same skillet, reduce heat to medium. Add butter and garlic, sautéing for 1 minute until fragrant.
Pour in the chicken broth, lemon juice, and lemon zest. Stir well and bring to a gentle simmer.
Add the crushed red pepper flakes and let the sauce cook for 2–3 minutes to thicken slightly.
Return the shrimp to the skillet, tossing to coat. Cook for an additional 1–2 minutes.
Stir in parsley, adjust seasoning, and remove from heat.
Serve immediately over warm pasta or rice. Garnish with lemon wedges.