Submerge cilantro leaves in boiling water for 45 seconds, then drain and process.
In a hot pot, add 2 tablespoons of vegetable oil and brown the chicken (about 2 minutes per side), then reserve.
In the same pot, add onions, garlic, and ají amarillo paste. Cook for at least 5 minutes. Add chicken, rice, potatoes, chicken broth, and cilantro. Cover and cook for at least 12 minutes.
After 12 minutes, add corn, green peas, carrots, 1 1/2 tablespoons of salt, and pepper. Cover and cook for another 5 minutes. The dish is ready when the rice is cooked.