2Place tomatillos, onion, cilantro, poblano pepper, jalapeño pepper, garlic, mint, and salt in a blender; blend until smooth. Transfer to a saucepan; bring to a gentle boil. Reduce heat to medium-low; simmer until thickened, stirring often, about 10 minutes. Stir in chicken; simmer until heated through, about 5 minutes more.
3Heat oil in a large skillet over medium heat. Fry tortilla strips, in batches, until crisp and lightly browned, 5 to 7 minutes. Drain on a paper towel-lined plate.