01 - In a medium bowl, whisk together the salsa verde, olive oil, ground cumin, garlic powder, smoked paprika, kosher salt, and black pepper until well combined. Divide the mixture in half—one portion for marinating and one for topping during grilling.
02 - Place the chicken breasts in a large resealable plastic bag or shallow dish. Pour half of the salsa verde mixture over the chicken, seal the bag, and turn to coat evenly. Refrigerate for at least 30 minutes, or up to 4 hours for deeper flavor penetration.
03 - Preheat an outdoor grill or grill pan to medium-high heat (approximately 400°F). Lightly oil the grates to prevent sticking.
04 - Remove the chicken from the marinade and discard the used marinade. Place the chicken on the hot grill and cook, covered, for 5 to 7 minutes per side until the internal temperature registers 165°F and juices run clear.
05 - During the last 2 minutes of grilling, spoon the reserved salsa verde mixture generously over each chicken breast. Top evenly with shredded Pepper Jack cheese. Close the grill lid and allow the cheese to melt completely.
06 - Transfer the chicken to a serving platter. Sprinkle with chopped fresh cilantro and serve immediately with lime wedges alongside.