Marinate the chicken breast in the first 5 ingredients for one hour in the refrigerator. Then cook the chicken over medium-high heat in a non-stick pan for 3-4 minutes per side. Let cool for 20 minutes and then cut into one-inch cubes.
To assemble the flautas:
Mix together the cubed chicken, sour cream, jack cheese and 2 tablespoons of vegetable oil. Spoon ¼ of this mixture onto each tortilla and roll up. Place the flautas on a baking sheet, brush with additional oil, as desired, and cook for 15 minutes in a pre-heated 400-degree oven. Turn the flautas over and cook and additional 7 minutes.