Pat the shrimp dry: Use paper towels to remove moisture so the shrimp sear instead of steam. Season with salt, pepper, and paprika.
Heat the skillet: Set a large skillet over medium-high heat.
Add the olive oil and 1 tablespoon butter and let it get hot and shimmery.
Sear the shrimp: Add shrimp in a single layer. Cook 1–2 minutes per side, just until pink and slightly curled. Transfer to a plate.
Do this in batches if needed to avoid overcrowding.
Sauté the garlic: Lower heat to medium. Add the remaining 1 tablespoon butter. Stir in the garlic and red pepper flakes.
Cook 30–45 seconds until fragrant, not browned.
Deglaze (optional): Pour in the white wine or broth. Scrape up any browned bits for extra flavor. Simmer 30–60 seconds.
Add lemon: Stir in lemon zest and lemon juice.
Taste the sauce and adjust salt and pepper.
Return the shrimp: Add the shrimp and any juices back to the skillet. Toss to coat and warm through for 30–60 seconds.
Finish with herbs: Turn off the heat. Sprinkle with parsley and give it one last toss.
Serve: Plate immediately with lemon wedges.
Spoon the pan sauce over the shrimp and any sides.