Cotoletta has 'pan grattato' over the surface, and it is cooked via frying in oil; usually
'cotoletta' is thin, as the cooking time is quite short in order not to burn the 'pan grattato'
pan grattato: grated bread
Braciola is a big piece of meat cooked over 'brace'; 'brace' is related to wood fire;
it is a piece of wood with red colour due to high temperature, but with a very small flame;
La brace, le braci
we have the expression: cucinare alla brace (carne, pesce, patate, etc.)