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Pre-heat the air fryer to 400ºF.
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Brush both sides of the tortillas with oil and season lightly with salt.
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Working in batches, air-fry the tortillas for 2 minutes on each side until crispy. (You might need to place a small rack on the tortillas to hold them down so they don’t blow around.) Set the crispy tortillas aside.
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Drizzle the chickpeas with a little oil and toss them with the chili powder, smoked paprika and salt.
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Place the chickpeas in the air fryer basket or tray and air-fry at 400ºF for 15 minutes, shaking a few times during the cooking process. The chickpeas should be a little crunchy but still soft in the middle. (Alternately roast the chickpeas in the oven at 400°F for 20 to 25 minutes, stirring a couple times during the cooking process.)
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While the tortillas and chickpeas are cooking, make the chipotle crema. Place the chipotle peppers, sour cream, lime juice and zest and salt in a mini food processor and process until it is smooth. Chill the sauce until you are ready to serve.
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Pre-heat a skillet over medium-high heat and add a little olive oil to the pan. Add the shredded chicken to the pan and fry until all the chicken is warmed through and some of the edges are crispy.
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To assemble the tostadas, top each crispy tortilla with some of the warmed shredded chicken, spreading it close to the edges. Top with some shredded cabbage or lettuce, sprinkle a little cheese on top and drizzle with the chipotle crema. Garnish with some of the roasted chickpeas and cilantro and serve.