Heat the olive oil in a large skillet or pot over medium-high heat. Add the chicken cubes and cook for 5-6 minutes, or until the chicken is golden brown.
Add the diced onion and bell peppers to the pot with the chicken pieces and cook for another 3-4 minutes, or until they start to soften.
Stir in the cumin powder, dried dill, and minced garlic. Cook for 1-2 minutes, or until the spices become fragrant.
Pour in the tomato sauce and chicken broth, and stir everything together. Bring the mixture to a simmer and let it cook for 15-20 minutes, or until the chicken is fully cooked.
In a small bowl, whisk together 2 tablespoons of cornstarch and ¼ cup of water until the cornstarch is completely dissolved.
Gradually pour the cornstarch mixture into the goulash, stirring constantly with a wooden spoon to prevent lumps from forming.
Continue to stir the goulash over low simmer for 1-2 minutes, or until the sauce has thickened to your desired consistency.
Season the chicken goulash with salt and pepper to taste, and stir in the chopped fresh parsley.
Serve hot