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, beaten 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 through the flour, shake off excess, dip into beaten egg, then press firmly into the coconut-breadcrumb mixture until fully coated.
04 - Heat coconut oil in a large skillet over medium-high heat. Sear breaded chicken for 2 to 3 minutes per side until a deep golden crust forms. Transfer seared breasts 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 frequently until smooth and slightly thickened, about 4 to 5 minutes.
07 - Serve the chicken hot, drizzled generously with apricot sauce. Garnish with chopped cilantro and lime wedges alongside.