Preheat oven to 350 degrees.
Heat the oil in a large skillet over medium-high heat. Add pork cutlets and brown on both sides; transfer to a baking dish. Brush Dijon mustard into both sides of cutlets then season with the garlic and half of the allspice.
In a small bowl, combine remaining allspice, diced apple, and vegetable broth; arrange mixture on the bottom of the dish, around the cutlets; cover tightly with foil and bake for 30 minutes.
Remove foil and continue to bake until pork is cooked through, about 10 minutes longer.