Heat the olive oil in a large skillet or wok over medium-high heat. Add the diced onion, peas and carrot, sautéing until the vegetables start to soften, about 3-4 minutes.
Push the vegetables to one side of the skillet. Crack the eggs into the cleared space, scrambling them until fully cooked, then mix with the vegetables.
Add the cooked rice and shredded chicken to the skillet. Stir everything together to distribute the ingredients evenly.
Pour the soy sauce over the rice mixture, stirring thoroughly to ensure that the rice is evenly coated and the flavors are well combined.
Continue to cook for an additional 2-3 minutes, stirring frequently, until everything is heated through.