Prepare the Filling: In a large mixing bowl, beat together the softened cream cheese, sour cream, chili powder, garlic powder, cumin, salt, and pepper until smooth and combined.
Add the Main Ingredients: Next, add the shredded rotisserie chicken, salsa and shredded cheese and beat together until well combined.
Assemble the Taquitos: Warm the corn tortillas to make them pliable. You can do this by microwaving them for about 20-30 seconds. Place about 2 tablespoons of the chicken mixture onto the open face of a tortilla and spread evenly across the whole tortilla. Tightly roll up the tortilla and place on a plate seam side down (secure with a toothpick if necessary) to prevent unrolling. Repeat the process with the remaining tortillas and filling.
Fry the Taquitos: In a large skillet, heat about 1-2 inches of oil over medium-high heat until hot but not smoking (around 350°F). Carefully place the taquitos seam side down into the hot oil. Fry in batches to avoid overcrowding the skillet. Cook each taquito for about 2-3 minutes per side, flipping halfway through, or until golden brown and crispy. Use tongs to remove the taquitos from the oil and place them on a plate lined with paper towels to drain any excess oil.
Serve: Serve the taquitos hot with your favorite dipping sauces like guacamole, extra salsa, sour cream, or a squeeze of lime.