Pat shrimp dry and season lightly with salt and black pepper.
Heat olive oil in a large skillet over medium heat. Add shrimp and cook for 1–2 minutes per side until just pink. Remove shrimp and set aside.
In the same skillet, melt butter over medium-low heat. Add garlic and cook gently for about 30 seconds until fragrant.
Pour in chicken broth (or wine), lemon juice, and lemon zest. Simmer for 2–3 minutes until slightly reduced.
Return shrimp to the skillet and toss to coat in the sauce. Cook for 1–2 minutes more.
Sprinkle with parsley, adjust seasoning, and serve immediately.