01 - Preheat oven to 400°F. Line a baking sheet with parchment paper and set aside.
02 - Place gluten-free flour in a shallow dish. Beat the eggs in a second shallow dish. Combine shredded coconut and gluten-free breadcrumbs in a third shallow dish.
03 - Season chicken breasts evenly with salt and black pepper. Dredge each breast in flour, shaking off excess. Dip into beaten eggs, then press firmly into the coconut-breadcrumb mixture, ensuring an even coating on all sides.
04 - Heat coconut oil in a large skillet over medium-high heat. Sear breaded chicken breasts for 2 to 3 minutes per side until the coating turns golden brown. Transfer seared chicken to the prepared baking sheet.
05 - Bake the chicken for 15 to 18 minutes, or until fully cooked through and juices run clear when pierced with a fork.
06 - While the chicken bakes, combine apricot preserves, gluten-free soy sauce, rice vinegar, Dijon mustard, minced garlic, and grated ginger in a small saucepan. Heat over medium, stirring constantly, until the sauce is smooth and slightly thickened, about 4 to 5 minutes.
07 - Serve the baked chicken hot, drizzled generously with apricot sauce. Garnish with chopped fresh cilantro and lime wedges as desired.