01 - In a medium bowl, whisk together the salsa verde, olive oil, ground cumin, garlic powder, smoked paprika, salt, and black pepper until well combined.
02 - Place the chicken breasts in a large resealable plastic bag or shallow dish. Pour half of the salsa verde mixture over the chicken, reserving the remaining half for grilling. Seal and refrigerate for at least 30 minutes, or up to 4 hours for deeper flavor penetration.
03 - Preheat your grill to medium-high heat (approximately 375–400°F). Lightly oil the grates to prevent the chicken from sticking.
04 - Remove the chicken from the marinade and discard the used marinade. Place the chicken on the grill, cover, and cook for 5–7 minutes per side until the internal temperature reaches 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 and close the grill lid to allow the cheese to melt.
06 - Transfer the chicken to a serving platter. Garnish with freshly chopped cilantro and serve alongside lime wedges.