Preheat the oven to 350 degrees F (175 degrees C).

Mix together chicken, chilies, and salsa in a large bowl until well combined. Set aside.

Stir together whipping cream and salt in a wide, shallow dish until well combined. Set aside.

Heat oil in a large, heavy skillet over medium-high heat. Fry each tortilla in hot oil until blistering, 2 to 4 seconds, then immediately dip into cream mixture.

Fill fried tortillas with chicken mixture. Roll and place flap-side down in a baking dish. Pour remaining cream mixture over tortillas and sprinkle with cheese.

Bake uncovered in the preheated oven until cheese is melted, 15 to 20 minutes.