Get the barbecue going so and place the grill down low as possible as you will be cooking the oysters on a very high heat.
In a bowl mix together the butter, fennel seeds, shallots, fennel greens, pepper and salt.
Then put to one side for use later.
If you want place in the refrigerator to keep the butter from melting completely and remove about 10 minutes before needed.
Place the oysters on the grill of the barbecue and close the lid and leave it closed for between 3 and 5 minutes or until you start to hear them hiss or they start to open.
Take an oyster knife and pry each one of the oysters open at the hinge and loosen the oyster inside.
Discard the flat part of the shell and then top each of the open oysters with ½ teaspoon of the butter you made earlier and then return them back to the barbecue once more.
Then cook them once more until the butter has melted and is hot.