01 - Pat salmon fillets thoroughly 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 skin is golden and crispy. Flip carefully and cook 1-2 minutes more. Transfer salmon to a plate, reserving the skillet.
03 - In the same skillet, 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 orzo pasta into the aromatic mixture and toast for 1-2 minutes, stirring frequently until lightly golden and nutty.
05 - Pour in white wine and let simmer for 1 minute until slightly reduced. Add broth, lemon zest, and lemon juice. Stir well and bring to a gentle boil.
06 - Reduce heat to medium-low. Cover skillet and cook orzo for 8-10 minutes, stirring occasionally to prevent sticking, until pasta is just tender and most liquid is 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 to desired doneness and orzo is creamy.
08 - Remove skillet from heat. Stir in butter and Parmesan cheese until melted and incorporated. Sprinkle with chopped fresh parsley. Serve immediately with extra lemon wedges on the side.