Preheat the oven to 400°F (200°C). Line a large sheet pan with parchment paper and pat the salmon fillets dry.
Make the sauce by whisking melted butter, garlic, lemon juice and zest, honey, olive oil, paprika, salt, and black pepper in a small bowl.
Arrange the salmon and vegetables on the sheet pan. Toss the vegetables with a little olive oil, salt, and pepper, then spread everything into an even layer.
Brush the salmon generously with the lemon garlic butter mixture, reserving a little for serving if desired.
Bake for 12–16 minutes, or until the salmon flakes easily and is cooked through. Broil for 1–2 minutes at the end for extra color, watching carefully.
Finish and serve with fresh parsley, lemon slices, and an extra squeeze of lemon juice. Spoon the buttery pan juices over the salmon before serving.