In a mixing bowl, combine the shredded chicken, salsa, and softened cream cheese. Mix everything thoroughly until well combined and creamy.
Lay out a low carb tortilla flat. Sprinkle a small amount of cheddar cheese onto one half, then spoon a portion of the chicken mixture over the cheese.
Starting from the side with the chicken and cheese, carefully roll the tortilla tightly upward, like a small cigar. Repeat this simple process for all 14 tortillas.
Heat a large skillet over medium heat and add the avocado oil. Gently place the rolled taquitos seam-side down into the hot skillet. You might need to cook them in two batches, depending on your skillet size (about 7-8 per batch).
Cook each taquito, turning occasionally, until all sides are beautifully golden brown and wonderfully crisp. This usually takes just a few minutes per side.
Serve your hot and crispy mini taquitos immediately, perhaps with a refreshing side of fresh guacamole for dipping, if desired. Enjoy this easy and satisfying meal or snack!