Start by thinly slicing the chicken breasts. Partially freezing them for 30 minutes makes this task easier. Also, slice the onion and bell peppers into thin strips. This ensures even cooking and a pleasant texture in the final dish.
In a large skillet, heat 1 tablespoon of olive oil over medium-high heat. Add the sliced onions and bell peppers, seasoning with salt and pepper. Sauté until the vegetables are tender and slightly caramelized, about 8 minutes. Remove them from the skillet and set aside.
In the same skillet, add the remaining tablespoon of olive oil. Add the thinly sliced chicken, Italian seasoning, smoked paprika, salt, and pepper. Cook the chicken in a single layer without stirring for a couple of minutes to allow it to brown. Then, stir and cook until the chicken is fully cooked through.
Return the sautéed vegetables to the skillet with the chicken. Stir to combine. Top the mixture with the shredded provolone cheese. Cover the skillet with a lid or foil and cook for an additional 2-3 minutes, until the cheese is melted and bubbly.