01 - Pat salmon fillets dry with paper towels. Season both sides generously with kosher salt and freshly ground black pepper.
02 - Heat olive oil in a large, deep skillet over medium-high heat until shimmering. Place salmon fillets skin-side down and sear for 3-4 minutes until golden brown and crispy. Flip carefully and cook 1-2 minutes more. Transfer salmon to a plate, leaving the flavorful oil in the skillet.
03 - In the same skillet over medium heat, add chopped onion and cook for 2-3 minutes, scraping up any browned bits from the bottom. Add minced garlic, dried oregano, and chili flakes; sauté for 1 minute until fragrant.
04 - Stir in orzo pasta and toast for 1-2 minutes, stirring frequently, until lightly golden and fragrant.
05 - Pour in white wine and let simmer for 1 minute until slightly reduced. Add broth, lemon zest, and lemon juice. Stir well to combine and bring to a gentle boil.
06 - Reduce heat to medium-low, cover, and cook for 8-10 minutes, stirring occasionally to prevent sticking, until orzo is just tender and most liquid has been absorbed.
07 - Nestle salmon fillets skin-side down directly on top of the orzo. Cover and cook for 3-5 minutes until salmon is cooked through and flakes easily with a fork.
08 - Remove from heat. Stir in butter and Parmesan cheese until melted and creamy. Sprinkle with chopped fresh parsley. Serve immediately with extra lemon wedges on the side.