Preheat the oven to 400 degrees Fahrenheit and allow it to fully heat before placing the pan inside.
Slice the chicken breasts into thin, even strips. Slice the bell peppers and onion into similar-sized strips so they cook evenly.
Place the sliced chicken, peppers, and onions onto a large sheet pan. Make sure the pan is large enough to hold everything in a single layer.
Drizzle olive oil evenly over the ingredients. Sprinkle all the spices across the chicken and vegetables, distributing them as evenly as possible.
Use clean hands or a spoon to mix everything thoroughly on the pan until all pieces are coated with oil and seasoning.
Spread the mixture out into a single layer, making sure the pieces are not stacked or crowded.
Place the sheet pan in the oven and bake for 20 to 25 minutes. Remove the pan halfway through cooking and stir the ingredients to ensure even roasting.
Check that the chicken is fully cooked and the vegetables are tender with slightly browned edges. Cook for a few more minutes if needed.
Remove from the oven and immediately squeeze fresh lime juice over the fajitas for added flavor.
Serve hot with warm tortillas and your choice of toppings.