Preheat the oven to 400 degrees F (200 degrees C).

Place pork roast into a roasting pan. Push whole cloves into meat; lay apple slices over top.

Mash cranberry sauce in a bowl with a potato masher. Stir in chicken broth, cinnamon, nutmeg, and ginger until well combined. Pour about 1/2 of the cranberry mixture over roast. Cover with a lid or a sheet of aluminum foil.

Bake in the preheated oven for 30 minutes. Uncover, pour remaining cranberry mixture over roast, and sprinkle orange zest over top.

Return to the oven and roast until cranberry mixture forms a glaze and an instant-read meat thermometer inserted into the center of the meat reads at least 145 degrees F (65 degrees C), about 30 more minutes.