In a food processor, combine fresh cilantro, garlic, pine nuts, Parmesan cheese, olive oil, lime juice, salt, and pepper. Blend until the mixture is slightly textured yet well-combined, then set aside.

Pat the chicken tenders dry with paper towels and season generously with salt and pepper on both sides.

Brush each chicken tender generously with the prepared cilantro pesto, ensuring even coverage.

Heat a skillet over medium heat, add a splash of olive oil, then cook the chicken tenders for about 3-4 minutes on each side, or until golden brown and cooked through.

Let the cooked chicken tenders rest for a few minutes before serving, garnished with fresh cilantro and lime wedges.