Heat a large high sided skillet on medium-high heat (cast iron works best for this). Add 3 tablespoons oil and let it melt. Swirl your pan to distribute oil. Once hot and near smoking, add one tortilla.
Fry tortilla, only about a minute, until it bubbles up and begins pulling away from the pan. Once browned and crisp, flip using a large spatula. Fry the second side for another minute or so, until browned and crisp. Set aside on a paper towel lined plate to cool.
Repeat with remaining tortillas, adding more oil as needed. Let cool completely before using.
To assemble, add a cooled fried tortilla to a plate. Drain chicken a bit so it its mostly dry, and add to top of tortilla. Dress with a small pile of shredded lettuce, a couple tablespoons of salsa, and a small handful of cilantro leaves. Season with hot sauce if desired and enjoy immediately.