Halve the chicken fillets, wash and pat dry. Fry in 2 tablespoons of hot oil on both sides for about 10 minutes until golden brown. Season with salt and pepper. Cut baguette into slices.
Wash parsley, dab dry and chop. Peel garlic and press it through a garlic press. Mix butter, garlic and parsley and season with salt and pepper. Brush the baguette slices with it and bake in a preheated oven (electric cooker: 200 °C/ gas: level 3) for about 10 minutes.
Wash, clean, quarter and seed the tomatoes. Cut the flesh into small cubes. Wash basil, dab dry and cut into fine strips. Take the meat out of the pan and cut into slices.
Add the remaining oil and vinegar to the frying fat and bring to the boil again briefly. Season to taste with salt, pepper and sugar. Arrange the fillet slices on plates. Pour vinaigrette over them and sprinkle with tomato cubes and basil.
Add baguette slices.