Step 1: Prepare the lemon-herb marinade. In a medium bowl, whisk together the olive oil, fresh lemon juice, lemon zest, minced garlic, chopped fresh dill, chopped fresh parsley, salt, and black pepper.
Step 2: Marinate the salmon. Place the salmon fillets in a shallow dish or a resealable plastic bag. Pour the marinade over the salmon, ensuring each fillet is well-coated. Cover and refrigerate for at least 30 minutes, or up to 2 hours. Do not marinate for longer than 2 hours, as the lemon juice can start to 'cook' the fish.
Step 3: Preheat the grill. Preheat your outdoor grill to medium-high heat (around 400-450°F or 200-230°C). Clean the grill grates thoroughly with a wire brush.
Step 4: Oil the grill grates. Lightly oil the clean, hot grill grates to prevent sticking. Use a paper towel dipped in high-smoke-point oil and held with tongs.
Step 5: Grill the salmon (first side). Remove the salmon from the marinade, letting any excess drip off. Place the salmon fillets skin-side down (if applicable) on the hot grill grates. Close the lid and grill for 5-7 minutes without moving.
Step 6: Flip and finish grilling. Carefully flip the salmon fillets using a wide, thin spatula. Cook for another 3-5 minutes, or until the internal temperature reaches 145°F (63°C) and the fish flakes easily with a fork.
Step 7: Serve. Transfer the grilled salmon to a serving platter. Garnish with extra fresh dill and lemon wedges, if desired. Let it rest for a couple of minutes before serving. Enjoy!