Pat the shrimp dry with a paper towel and season with salt, pepper, and oregano.
Heat olive oil and butter in a large skillet over medium heat.
Add garlic and sauté for about 30 seconds, until fragrant.
Add the shrimp in a single layer. Cook 2–3 minutes per side, until pink and opaque.
Stir in lemon juice, zest, and parsley. Toss to coat.
Remove from heat and serve immediately.