Preheat oven to 400°F. Lightly spray a baking sheet with nonstick cooking spray.
If not already melted, melt the 1/4 cup butter and pour it into a shallow bowl; stir in the 1 teaspoon garlic powder.
In a separate shallow bowl, combine the 1/2 cup bread crumbs, 1 cup shredded cheddar cheese, 1/4 cup grated Parmesan cheese, 1/2 teaspoon oregano, and 1/2 teaspoon parsley.
Working with one strip at a time, dip each of the 8 chicken strips (from the 2 large breasts) into the melted butter mixture, turning to coat and allowing excess butter to drip back into the bowl.
Press each butter-coated strip into the breadcrumb-cheese mixture, coating all sides and gently pressing the mixture onto the chicken so it adheres.
Arrange the coated strips in a single layer on the prepared baking sheet, leaving space between pieces.
Bake in the preheated oven for 15–20 minutes, until the chicken is cooked through and no longer pink in the center (internal temperature should reach 165°F).
Remove from oven and let the chicken rest 2–3 minutes before serving.