01 - Preheat an outdoor grill to medium-high heat, or set a grill pan over medium-high on the stovetop.
02 - Pat the chicken breasts dry with paper towels. Drizzle both the chicken and asparagus with olive oil, then season evenly with kosher salt and freshly ground black pepper.
03 - Place the chicken breasts on the grill and cook for 6 to 7 minutes per side until the internal temperature registers 165°F.
04 - During the last 4 to 5 minutes of the chicken's cooking time, add the asparagus to the grill. Turn occasionally until crisp-tender and lightly charred.
05 - While the chicken and asparagus cook, combine the chopped Calabrian chili peppers, olive oil, minced garlic, lemon juice, honey, and chopped parsley in a small bowl. Season with salt and pepper to taste, then stir until well blended.
06 - Transfer the grilled chicken to a cutting board and let it rest for 2 to 3 minutes to allow the juices to redistribute. Slice if desired.
07 - Arrange the sliced chicken and grilled asparagus on plates. Drizzle generously with the Calabrian chili sauce, then finish with lemon zest and additional chopped parsley.