01 - Preheat an outdoor grill or grill pan to medium-high heat, approximately 400°F.
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 hot grill. Cook for 6 to 7 minutes per side until the internal temperature reaches 165°F and the juices run clear.
04 - Add the asparagus to the grill during the last 4 to 5 minutes of the chicken's cooking time. Turn occasionally until crisp-tender and lightly charred with distinct grill marks.
05 - While the chicken and asparagus cook, combine the chopped Calabrian chili peppers with their oil, olive oil, minced garlic, lemon juice, honey, and chopped parsley in a small bowl. Season with salt and pepper to taste and 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 diagonally if desired.
07 - Arrange the sliced chicken and grilled asparagus on serving plates. Drizzle generously with the Calabrian chili sauce. Finish with a sprinkling of lemon zest and additional chopped parsley.