Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper or foil for easy cleanup.
In a small bowl, whisk together 2 tablespoons of olive oil, garlic, lemon zest, lemon juice, oregano, thyme, paprika, salt, and pepper to create the herb marinade.
Place the salmon fillets on one half of the prepared baking sheet and brush generously with the herb mixture on all sides.
Arrange the trimmed asparagus on the other half of the baking sheet, drizzle with the remaining 1 tablespoon of olive oil, and season lightly with salt and pepper.
Roast in the preheated oven for 12–15 minutes, or until the salmon flakes easily with a fork (internal temp 145°F) and the asparagus is tender-crisp.
Optional: Switch the oven to broil for the last 1–2 minutes for a lightly golden top on the salmon.
Remove from the oven, garnish with fresh parsley, and serve immediately with extra lemon wedges on the side.