Rub the chicken breasts with olive oil and place them in the bottom of the slow cooker.
In a bowl, whisk together salsa verde, honey, lime juice, chili powder, salt, onion powder, garlic powder, smoked paprika, cumin, black pepper, and cayenne or hot sauce if using.
Pour the salsa mixture over the chicken in the slow cooker.
Cook on high for 2–4 hours or on low for 6–7 hours, until the chicken is very tender and shreds easily.
Transfer the chicken to a cutting board and let rest 5 minutes, then shred with two forks.
Return the shredded chicken to the slow cooker and cook on low 20–30 minutes to allow it to absorb some juices.
Remove and drain excess liquid before serving; taste and adjust sweetness, acidity, or heat by adding more honey, lime juice, or hot sauce as desired.
To make the FoldIt flatbread taco shells, preheat oven to 375°F (190°C). Cut each FoldIt in half and lightly brush one side with some of the salsa-honey-lime juices from the slow cooker.
Drape each folded half over oven rack rungs to form a taco shell shape and bake 10–12 minutes, until edges are crisp; remove and cool 1 minute.
Fill shells with shredded chicken and top with Monterey Jack cheese, lettuce, tomatoes, cilantro, avocado, and sour cream as desired.