Preheat oven to 425°F. In a mixing bowl, combine 4 tablespoons oil, spices and lemon juice. Add chicken; stir to coat. Place on baking sheet in a single layer and bake for 20-25 minutes. Cool slightly. Transfer to a cutting board and chop into small pieces.
Heat large skillet over high heat. Add remaining 1 tablespoon oil. Add chicken strips in a single layer and cook, without stirring, until the edges are crisp, 3-4 minutes. Stir and cook another 3 minutes. You might need to do this in batches if your skillet isn’t wide enough.