Heat 2 tbsp olive oil in a large skillet over medium-high heat until shimmering. Add chicken pieces in a single layer, seasoning with salt and pepper. Cook until golden brown on one side, about 4 minutes.

Flip the chicken pieces and add minced garlic to the skillet. Stir, cooking until the garlic is fragrant and the chicken is cooked through, about 3-4 minutes. Remove chicken from the skillet and set aside.

Add sliced bell peppers and broccoli florets to the same skillet. Cook over medium heat, stirring occasionally, until vegetables are tender-crisp, about 5 minutes. Listen for a gentle sizzle as they cook.

Place the chicken back into the skillet over medium heat. Sprinkle with dried oregano, ensuring even coverage. Stir gently to combine, and cook for an additional 2 minutes. Watch for the chicken to become golden and aromatic, indicating the flavors have melded. Avoid overcooking to maintain tenderness.

Pour in chicken broth and lemon juice, scraping up any browned bits from the bottom of the pan. Increase heat to high and bring to a simmer, letting the sauce reduce slightly.

Sample the sauce to ensure the seasoning is balanced, adding more salt if necessary. The sauce should have a slightly thick consistency, enough to coat the back of a spoon. Stir gently and observe for a glossy appearance, indicating it is ready to serve.

Lower the heat to a gentle simmer and allow the dish to cook for an additional minute. This step helps the chicken maintain its moisture while the vegetables keep their bright color and crisp texture, ensuring everything is cooked to perfection without overcooking.

Just before serving, scatter finely chopped parsley evenly over the dish. This final touch enhances the visual appeal with vibrant green flecks and introduces a subtle, fresh aroma that complements the other ingredients. Ensure the parsley is distributed uniformly to achieve a balanced presentation.

Transfer the hot dish from the skillet to serving plates, ensuring each portion contains a balanced mix of chicken, bell peppers, and broccoli. The vibrant colors should be evident, and the aroma should be enticing. Serve immediately to maintain the dish's warmth and appeal, allowing everyone to enjoy the freshly cooked meal.

To round out your meal, consider serving alongside a warm, crusty bread or a fresh green salad. These additions enhance the overall meal by providing contrasting textures and a refreshing balance to the main dish, ensuring a satisfying and complete dining experience.