Place all the ingredients except for the shrimp and parmesan cheese into a 6-quart slow cooker—including the 1. 0 tbsp (0. 5 oz / 15g) minced garlic, 2. 0 tbsp (1. 0 oz / 28g) unsalted butter, and 0. 5 cup (4. 0 fl oz / 120ml) white wine—and whisk continuously until thoroughly combined into a smooth sauce base.
Add the 1. 0 lb (16 oz / 454g) prepared wild-caught shrimp to the slow cooker basin, stirring gently until all the shrimp are evenly coated in the garlic butter liquid, and then shut securely with the lid.
Plug in the slow cooker and cook the mixture for 1. 5 to 2. 5 hours on the low heat setting, checking near the end of the cooking time to ensure the shrimp are opaque, pink, and perfectly cooked through.
Turn off the appliance, carefully remove the hot lid, and evenly sprinkle the 0. 5 cup (1. 5 oz / 45g) grated parmesan cheese over the top of the warm seafood before immediately serving.
Pat Your Shrimp Dry: If you are using thawed frozen shrimp, be sure to pat them completely dry with a paper towel before adding them to the pot. Extra water will dilute your delicious garlic butter sauce.