Mix the yogurt, olive oil, garlic, basil, oregano, lemon zest, salt and hot sauce together in a large bowl. Add the chicken and toss well to coat. Refrigerate for 1 hour.
Preheat a cast iron grill pan over high heat for 4 to 5 minutes or preheat an outdoor grill. Place the chicken on the grill and cook for 4 minutes per side, until the chicken is firm to the touch.
Platter and garnish with lemon slices. Serve warm or at room temperature with salsa on the side.
Place all the ingredients in a small mixing bowl and mix well. Place in a decorative bowl and serve.