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Preheat an outdoor grill to medium-high heat.
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Combine cherries, 2/3 cup water, brown sugar, balsamic vinegar, tomato paste, garlic, salt and red pepper flakes into a small saucepan over medium heat. Bring to a boil, then reduce heat to medium. Simmer for 10 minutes, until cherries have softened.
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Transfer to a blender and blend until smooth. Return to the pot over medium heat.
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In a small bowl, combine corn starch with 1 tbsp water. Mix well, then pour cornstarch slurry into the bbq sauce. Stir well until sauce has thickened.
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Divide the sauce into two containers. Half of the sauce can be used for the pork chops, and the other half can be stored in the refrigerator for 2 - 3 weeks. Discard any remaining sauce that was used to baste onto the pork chops.
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Lightly oil the grate of the grill. Place pork chops on preheated grill and cook until no longer pink in the center, about 3 - 5 minutes per side, depending on the thickness of the pork. Two minutes before the pork is done, brush on a good layer of the bbq sauce onto each side of the pork chops.
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When internal temp of the pork reaches 145 degrees, it's ready.