01 - Preheat oven to 400°F. Line a baking sheet with parchment paper and set aside.
02 - Arrange three shallow dishes: place gluten-free flour in the first, beat the eggs in the second, and combine shredded coconut with gluten-free breadcrumbs in the third.
03 - Season chicken breasts evenly with salt and 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 a deep golden brown. Transfer seared chicken to the prepared baking sheet.
05 - Bake the chicken for 15 to 18 minutes, or until the internal temperature reaches 165°F and juices run clear when pierced.
06 - While the chicken bakes, combine apricot preserves, soy sauce, rice vinegar, Dijon mustard, minced garlic, and grated ginger in a small saucepan. Heat over medium, stirring constantly until smooth and slightly thickened, about 4 to 5 minutes.
07 - Transfer hot chicken to plates and drizzle generously with warm apricot sauce. Garnish with chopped fresh cilantro and lime wedges. Serve immediately.