Place olive oil and chicken in a skillet over high heat.
While the chicken is cooking, chop bell pepper, tomato and jalapeno. Combine them in a second small pan over medium heat to make a homemade salsa.
Juice limes and chop cilantro, adding both to the chicken and stirring well.
Flip the chicken when the bottom is cooked, then, when the chicken is cooked all the way through, remove from the stove and serve with the homemade salsa over the top.