Prep & Season Salmon: Pat salmon fillets completely dry with paper towels (moisture is the enemy of crispy skin). Season flesh and skin generously with sea salt, black pepper, and Italian seasoning herbs.
Crisp Salmon in Hot Skillet: Heat 2 tablespoons olive oil and 1 tablespoon butter in a large heavy skillet (preferably cast-iron or stainless steel) over medium-high heat until shimmering. Place salmon skin-side down and press gently with a spatula for 10 seconds. Sear undisturbed for 4-5 minutes until skin is deeply golden and crackly crisp. Flip gently and sear for another 2-3 minutes until just cooked through. Transfer to a warm plate.
Sauté Garlic & Sun-Dried Tomatoes: Melt remaining 2 tablespoons butter in the pan drippings over medium heat. Add minced garlic and sliced sun-dried tomatoes, sautéing for 60 seconds until fragrant without browning the garlic.
Build Velvety Cream Sauce: Pour in halal broth to deglaze the skillet bottom, then pour in heavy cream. Bring to a gentle simmer for 2-3 minutes until slightly thickened. Reduce heat to low and whisk in grated Parmesan cheese and fresh lemon juice until silky and glossy.
Wilt Baby Spinach: Add fresh baby spinach leaves by handfuls, folding gently into the hot cream sauce for 1-2 minutes just until wilted and vibrant green.
Nestle Salmon & Serve: Nestle the seared salmon fillets back into the skillet, spooning generous ladlefuls of warm garlic cream sauce around the fish (leaving the crispy skin exposed to stay crunchy). Shower with fresh dill and cracked pepper. Serve immediately!