Lay pork belly on cutting board and roll up lengthwise, with skin facing out.
Using butcher’s twine, tightly secure pork belly at 3/4-inch intervals.
Preheat oven to 275°F. Heat water, garlic, ginger, sliced green onions, soy sauce, mirin, fish sauce, white sugar in a medium saucepan, big enough to hold the pork belly, over high heat until boiling.
Add pork belly, it won't be submerged. Cover with a lid left slightly ajar. Transfer to oven and cook, turning pork occasionally, until pork is fully tender and a cake tester or thin knife inserted into its center meets little resistance, 3 to 4 hours.
Transfer contents to a sealed container and refrigerate until completely cool.
Reheat pork belly slices in soup broth with noodles and other garnishes.