Step 1

Preheat the oven to 325 degrees F (160 degrees C). Brush a baking dish with olive oil.

Step 2

Whisk tomato paste, vinegar, honey, mashed anchovy, green onions, garlic, rosemary, salt, red pepper flakes, and black pepper together in a large bowl to make the agrodolce.

Step 3

Cut pork shoulder into roughly 3-inch pieces. Add to the bowl of agrodolce and mix by hand until coated. Transfer pork and sauce to the prepared baking dish.

Step 4

Bake in the preheated oven, flipping pieces over halfway through, until pork is very tender, 2 1/2 to 3 hours. Add a splash of water if pork appears too dry. Skim off fat as desired.