how long to cook a filet mignon on a george foreman outdoor grill
5. Cancel. A filet mignon is very easy to cook with the George Foreman grill, and only takes about six minutes to be fully cooked. Enjoy a filet mignon from the George Foreman grill with tips from a professional cook in this free video on easy grilling recipes.hen, take your pair of tongs and your fillet mignon, open your lid and place it on your George Foreman grill. Close the lid and let it cook for about six minutes. Okay, it's been about six minutes now. Let's go ahead and remove the fillet mignon from the George Foreman grill.