While your grill preheats, melt the butter in a small saucepan over medium-low heat until just foamy. Add the minced garlic and cook gently for 1-2 minutes, stirring frequently, until fragrant but not browned—this releases the garlic's flavor without bitterness. Remove from heat and stir in the fresh dill and lemon zest. Meanwhile, pat your salmon fillets dry with paper towels, then season both sides evenly with salt, ground black pepper, and smoked paprika. I like to season the salmon right before cooking rather than letting it sit, as the salt can draw out moisture and make the skin less crispy on the grill.
Heat your grill to 400°F, ensuring the grates are clean and well-oiled to prevent sticking. While the grill comes to temperature, arrange the lemon slices on a plate nearby—these will be grilled alongside the salmon to add a charred, caramelized element to your plate. Having everything prepped and ready means you can focus entirely on the salmon once it hits the grill.
Once the grill is at temperature, place the salmon skin-side up on the grill grates and cook for 3-5 minutes without moving it. This initial sear develops a golden crust and creates those desirable grill marks. During this time, brush the top (flesh side) of the salmon generously with half of the garlic butter mixture from Step 1. The butter will begin to flavor the fish and help keep it moist.
Carefully flip the salmon skin-side down and immediately brush the new top surface with the remaining garlic butter. Continue grilling for another 2-4 minutes until the salmon reaches an internal temperature of 145°F (check with a meat thermometer at the thickest part) and the flesh is opaque. While the salmon finishes, lay the lemon slices directly on the grill grates for about 2-3 minutes per side until they develop char marks. I find that grilling the lemon brings out its natural sweetness and adds a nice textured garnish.
Transfer the salmon to a serving plate and let it rest for 2-3 minutes—this allows the proteins to set and keeps the fish tender and moist. Arrange the charred lemon slices alongside the salmon. Drizzle any remaining pan juices or extra garlic butter over the top of the salmon just before serving for maximum flavor impact.