Preheat your oven to 425 degrees F and line a large baking sheet with parchment paper.
In a large bowl, combine the shredded chicken, cream cheese, monterey jack, salsa verde, cumin, garlic powder, chili powder, and salt. Mix well until the filling is evenly combined and creamy.
Warm the corn tortillas in the microwave for about 30 seconds, wrapped in a damp paper towel, so they become pliable and easy to roll without cracking.
Place about 2 tablespoons of the chicken filling along the center of each tortilla. Roll each one up tightly and place seam-side down on the prepared baking sheet.
Brush the tops and sides of the taquitos with olive oil, making sure each one gets a nice even coating so they crisp up beautifully.
Bake for 18 to 22 minutes, until the tortillas are golden and crispy on the edges. Let them cool for a couple of minutes, then serve with sour cream and fresh cilantro.