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Blend together the ground cumin and the chili powder. Add the olive oil and stir well.
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Season the chicken breasts with kosher salt and black pepper, then coat each chicken breast with some of the cumin and chili powder mixture.
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Marinate the chicken breasts for at least 1 hour and up to four hours.
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To make the relish, combine the diced cucumber with the yellow bell pepper and red onion. Add the crushed red chili flakes and season the relish with kosher salt and black pepper. Mix in the minced parsley and white wine vinegar.
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Refrigerate the relish in a covered container for about 1 hour - this will give the flavors time to blend.
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Light a charcoal barbecue or a gas grill. Cook the chicken breasts, turning once, until they are cooked through, about 8 minutes per side.
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Hint: If you would like the chicken to cook a little faster, pound them between two sheets of plastic before marinating them - they should cook in about half the time.
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When the chicken is finished, garnish each breast with a couple of tablespoons of the cucumber relish spooned over the top. Any extra can be served on the side.