Heat a deep 10-inch skillet over medium heat. Add olive oil along with onion, green pepper, garlic, salt, and Cuban Seasoning. Cook over medium-high heat for 5 minutes, stirring occasionally.
Add tomato sauce and water, stirring to combine.
Bring to a simmer, gently stir in rice and peas, so they are distributed evenly. Place chicken on top and cover, cook for 20 minutes. When finished, the liquid should be absorbed and rice cooked. Pull the pan from the heat, and let sit covered, for 10 minutes undisturbed. Garnish with cilantro leaves to serve.