Heat the oil in a saucepan over medium heat until hot. Sauté the onion, garlic, and ginger for a few minutes until the onion softens and turns lightly golden.
Add the finely chopped quinces and enough water to cover them.
Next, add the sugar, cinnamon, star anise, and a pinch of salt. Stir well until the sugar dissolves, reduce the heat, and let the mixture simmer gently until it thickens and reaches a jam-like consistency. (Add a little more hot water if necessary to prevent it from becoming too thick.)
For the Pork Chops:
Brush the pork chops with oil and season with salt and pepper.
Place them on a greased grill and cook until done to your preference.
Serve the grilled pork chops topped with the quince chutney.