Place pork into your slow cooker.
Sprinkle the salt, pepper, garlic, ginger, red pepper flakes and lime zest all over the pork.
In a glass measuring cup or medium bowl, whisk the remaining ingredients to create a sauce.
Pour sauce over pork.
Place the lid on your slow cooker and cook on low for 8 hours (or high for 4 hours).
Carefully remove the pork to a cutting board and allow to rest for 5-10 minutes.
Discard the remaining cooking liquid, then return the pork to the slow cooker and shred.