Season the salmon: Rub the salmon fillets with olive oil, Italian seasoning, salt, and pepper.
Cook the salmon: In a skillet, sear the salmon fillets on both sides until golden brown (about 4-5 minutes per side). Remove and set aside.
Make the sauce: In the same skillet, melt butter and sauté minced garlic for 1-2 minutes.
Add flour: Stir in flour to make a roux, cooking for another minute.
Add liquids: Gradually pour in chicken broth and heavy cream, stirring to combine.
Finish the sauce: Stir in sun-dried tomatoes, Parmesan, Italian seasoning, and lemon zest. Simmer for 3-4 minutes.
Return salmon to the pan: Place the salmon fillets back into the sauce and cook for an additional 2-3 minutes.
Garnish: Sprinkle fresh basil on top before serving.