Heat 1/2 inch of vegetable oil in a saucepan over medium heat until it reaches 350°F.
In a large bowl, combine the shredded chicken, softened cream cheese, chopped spinach, shredded cheese, salsa, and sour cream. Season with salt and pepper to taste.
Place a few tablespoons of the chicken mixture onto the center of each tortilla. Spread the mixture evenly, then roll the tortilla tightly.
Using tongs, carefully place each rolled tortilla seam-side down into the hot oil. Fry until both sides are golden brown, about 2-3 minutes per side.
Transfer the fried taquitos to a plate lined with paper towels to drain excess oil.
Serve the taquitos warm with additional toppings like shredded lettuce, chopped tomatoes, sour cream, and Pico de Gallo, if desired.