Light your barbecue. When the coals have become embers, and it has reached a target temperature of 90–110°C, you are ready to start cooking.
Brush the salmon fillet all over with a little olive oil and lay on a baking tray. Season generously with salt and pepper, then top with the shallots, lemon zest and the chopped herb stalks.
Place the tray on the grill, close the lid and bake the salmon for about 30–40 minutes. You can tell it is done when the fish feels just firm to the touch and the white juices are just starting to break through the surface. You can rest it for 10 minutes then serve right away, or let it rest, covered in foil, for up to 2 hours before serving.
Gently brush the herbs and shallots off the salmon and add a squeeze of lemon juice, keeping the remaining lemon to serve as wedges at the table. Pull the salmon into big flakes and put onto a big platter or onto plates, topped with the chopped herb leaves. Serve with a salad of raw vegetables and leaves or grilled vegetables.