Pat chicken breasts dry with paper towels, then season with salt and pepper. Slice them into 1-inch strips for even cooking throughout the pan.
Heat olive oil in a large skillet over medium-high heat until shimmering. Add chicken strips and cook for 4-5 minutes until golden brown on all sides, stirring occasionally for even doneness.
Remove cooked chicken to a clean plate. In the same skillet, add diced onion and cook for 2 minutes until softened, stirring frequently.
Add minced garlic and cook for 30 seconds until fragrant. Stir in paprika, cumin, and oregano, cooking for another 30 seconds to bloom the spices.
Return the sizzling chicken and peppers skillet to full life by adding all three bell peppers (diced). Stir everything together and cook for 3-4 minutes until peppers begin to soften slightly.
Pour in chicken broth and fresh lime juice, scraping up any browned bits stuck to the skillet. Simmer for 3-4 minutes until peppers reach your desired tenderness.
Return cooked chicken to the skillet and toss everything together. Cook for 1-2 minutes until heated through, then taste and adjust seasonings as needed.
Finish with fresh cilantro just before serving for brightness and authentic flavor.