In a medium saucepan, combine the jackfruit, beans, pico de gallo, and water. Heat the jackfruit mixture over medium-high heat until it begins to boil.
Reduce the heat, cover the saucepan, and simmer for 20 to 25 minutes.
Preheat oven to 425º F.
Mash the jackfruit mixture with a fork or potato masher. You’re aiming to shred the jackfruit to a meaty texture.
Place a tortilla on a work surface. Spoon ¼ cup of the jackfruit mixture onto the tortilla. Roll it up tightly, pushing any of the mixture that falls out back into the tortilla. Repeat this process to make 4 taquitos.
Stovetop Option: Arrange the taquitos seam side down on a parchment-lined baking sheet. Spray lightly with cooking oil spray and bake in a 425º F oven for 13 to 18 minutes, or until lightly browned and crispy.
Air Fryer Option: Spritz the air fryer basket with the oil. Spritz the tops of the tortillas as well. Place the rolled tortillas into the air fryer basket. Cook at 370°F for 8 minutes.