In a mixing bowl, combine cooked shredded chicken, softened cream cheese, diced jalapeños, shredded cheddar cheese, garlic powder, onion powder, cumin, salt, and pepper. Mix until everything is well incorporated.
Heat corn tortillas in a dry skillet over medium heat for about 30 seconds on each side to make them pliable.
Take a tortilla and spoon about 2-3 tablespoons of the chicken mixture onto one side, rolling it tightly from that side to form a flauta. Secure with a toothpick if necessary. Repeat with remaining tortillas and filling.
In a deep skillet or frying pan, heat the vegetable oil over medium-high heat. When the oil is hot (about 350°F or 175°C), carefully place the flautas seam-side down in the skillet.
Fry the flautas for about 3-4 minutes on each side, or until golden brown and crispy. Remove from oil and drain on paper towels.
Once all flautas are fried, remove toothpicks if used and place them on a serving platter.
Garnish with chopped cilantro and serve with sour cream and salsa on the side.