01 - Preheat the oven to 425°F. Line a baking sheet with parchment paper for easy cleanup.
02 - In a large bowl, toss the halved potatoes with 2 tbsp olive oil, dried thyme, smoked paprika, salt, and pepper until evenly coated.
03 - Spread potatoes cut side down on half of the baking sheet. Toss broccoli florets with 1 tbsp olive oil, salt, and pepper, then arrange on the other half.
04 - Roast potatoes and broccoli for 25-30 minutes, or until potatoes are golden and crisp and broccoli is tender, tossing halfway through cooking.
05 - Pat salmon fillets dry. In a small bowl, mix lemon zest, half the lemon juice, 2 tbsp olive oil, minced garlic, salt, and pepper. Rub this mixture evenly over the salmon fillets.
06 - Heat a large nonstick skillet over medium-high heat. Add the salmon, skin-side down (if skin-on), and sear for 3-4 minutes. Flip and cook 2-3 minutes more, until just cooked through.
07 - Reduce heat to low; add butter, remaining lemon juice, and chopped parsley to the pan. Spoon the melted lemon butter over the salmon to glaze.
08 - Serve salmon with crispy potatoes and broccoli, garnished with extra parsley and lemon wedges if desired.