In a bowl, mix the shredded chicken with the shredded cheese. If you like extra creaminess, fold in the cream cheese or a spoonful of crema. Add salt to taste.
Warm the tortillas slightly so they’re easier to roll. Try microwaving them for 10-15 seconds or warming in a dry skillet for about 20 seconds per side.
Spoon a generous line of the chicken and cheese mixture along one edge of each tortilla. Roll tightly, tucking the ends as you go to form a neat little flute.
If you’re frying: In a skillet, heat about 1/2 inch of oil over medium heat. Fry the flautas seam side down first, turning occasionally, until golden and crisp, about 2-3 minutes per side. Drain on paper towels.
If you’re baking: Preheat your oven to 425°F (220°C). Lightly brush or spray the flautas with oil and place seam-side down on a baking sheet. Bake for 15-20 minutes, turning once, until crisp and nicely browned.
Let them rest briefly, then slice in half if you like, and serve with salsa, guacamole, or a dollop of sour cream.