Prep the slow cooker: Lightly grease the insert or line it with a slow cooker liner for easy cleanup.
Build the sauce base: Add butter, garlic, lemon zest, lemon juice, and chicken broth to the slow cooker.
Sprinkle in salt, black pepper, red pepper flakes (if using), and Italian seasoning. Stir to combine.
Warm the sauce: Cover and cook the sauce on Low for 1 to 1.5 hours, until the butter is fully melted and the garlic has mellowed. This infuses the sauce with flavor before adding the shrimp.
Add the shrimp: Stir the sauce, then add the shrimp in an even layer.
Spoon some sauce over the top so they’re coated.
Cook the shrimp gently: Cover and cook on Low for 20–30 minutes, checking at the 15-minute mark. Shrimp are done when they’re pink, opaque, and just curled into a loose “C.”
Taste and adjust: Stir in half the fresh parsley. Taste and add a pinch more salt, pepper, or lemon juice if needed.
For extra richness, whisk in 1–2 tablespoons of cold butter to finish.
Serve: Spoon shrimp and sauce over zucchini noodles, cauliflower rice, sautéed spinach, or steamed asparagus. Top with remaining parsley, a squeeze of lemon, and a sprinkle of Parmesan if you like.