In a large mixing bowl, combine the shredded chicken with the cooked rice, rinsed black beans, corn, and salsa. Sprinkle in the ground cumin, and season generously with salt and pepper. Mix all ingredients thoroughly, ensuring everything is evenly coated and well blended.
Place a large flour tortilla on a clean surface or a plate. Spoon approximately 1/2 cup of the chicken mixture into the center of the tortilla. Then, add about 1/4 cup of shredded cheddar cheese on top of the chicken mixture, allowing it to melt during cooking.
Fold the sides of the tortilla inward over the filling to contain it. Starting from the bottom, carefully roll the tortilla upwards, tucking in the filling as you go, until you have a tightly rolled burrito. Repeat this process for the remaining tortillas and filling.
In a large skillet, heat the olive oil over medium heat until shimmering. Place the burritos seam side down in the skillet, making sure not to overcrowd the pan. Cook for about 3-4 minutes on each side or until the tortillas are golden brown and crispy and the cheese inside has melted.
Once cooked, remove the burritos from the skillet and let them rest for a minute to cool slightly. Cut each burrito in half to showcase the delicious, cheesy filling inside.
For an extra burst of flavor, serve the burritos with a side of sour cream, a dollop of guacamole, and a sprinkle of fresh cilantro on top.