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 ziplock bag or shallow bowl. 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 an outdoor grill or grill pan to medium-high heat. Lightly oil the grates to prevent the chicken from sticking.
04 - Remove the chicken from the marinade and discard the used marinade. Place the breasts on the grill, cover, and cook for 5 to 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 chopped fresh cilantro and serve alongside lime wedges.