Pat the tilapia fillets dry with paper towels and season both sides lightly with salt and pepper.
Heat the olive oil in a large, oven-safe skillet over medium-high heat.
Sear the tilapia fillets for 2-3 minutes per side until lightly golden. Remove the fish from the skillet and set aside on a plate.
Reduce the heat to medium. Add the butter to the same skillet. Once melted, add the minced garlic and cook for about 30 seconds until fragrant, being careful not to burn it.
Pour in the chicken broth and heavy cream. Bring the mixture to a gentle simmer, scraping up any browned bits from the bottom of the pan.
Stir in the Italian seasoning and Parmesan cheese. Continue to simmer for 2-3 minutes until the sauce thickens slightly.
Stir in the lemon juice. Taste the sauce and add more salt or pepper if needed.
Return the seared tilapia fillets to the skillet, nestling them into the sauce.
Cover the skillet and cook on low heat for 3-5 minutes, or until the fish is opaque and flakes easily with a fork.
Remove from heat, garnish with fresh parsley, and serve immediately directly from the pan.
Notes
You can add quick-cooking vegetables like asparagus or spinach to the pan during the last 5 minutes of cooking the sauce before returning the fish.
For a thicker sauce, let it simmer uncovered for an extra minute or two.