Combine the cream with the flour and mix thoroughly, eliminating lumps. Add the Provencal herbs, salt, pepper and mix again.
Cut the chicken fillet into strips.
In a frying pan with melted butter, fry the chicken fillet for about 10 minutes, stirring, over high heat until golden brown.
Pour the creamy flour mixture over the fillet and, stirring, bring to a boil. Reduce heat and simmer for about 2 minutes.
Place the chicken fillet with creamy sauce into cocotte dishes, sprinkle with grated cheese and bake in an oven preheated to 180°C for about 10 minutes until a golden brown crust appears on the surface of the cheese.
Serve the dish in cocotte dishes.