In a blender or food processor, combine all of the green sauce ingredients. Blend until the mixture is smooth and creamy. Cover the sauce and place it in the fridge.
Add the olive oil, garlic, lime juice, cilantro, oregano, cumin, smoked paprika, salt, and black pepper to a blender or food processor. Blend until smooth.
Pour the marinade over the chicken. Cover and refrigerate for at least 30 minutes.
Heat a nonstick skillet over medium heat. Add the chicken and cook 5-7 minutes, stirring occasionally.
Once the chicken is cooked through, it's time to assemble the tacos. Warm up the tortillas, then add some of the cooked chicken. Drizzle a generous amount of green sauce over the chicken.
If you like, you can add other toppings. I added pickled red onions and cilantro.