Cut the chicken breast into pieces about 1 inch wide and create pockets inside, but do not cut all the way through. Add salt to the semolina, coat the chicken in it, and fry in vegetable oil with the lid on.
Finely chop the vegetables, grate the carrot on a coarse grater, and sauté them in oil to make a ratatouille. Season with garlic, salt, and pepper to taste, then stir in the mayonnaise.
Once the ratatouille has cooled, stuff it into the pockets of the chicken and arrange on a plate. Serve with fresh vegetables.