how long to cook salmon on the grill
1 Place the salmon, skin-side-down, on the grill and cover. 2  Cook, undisturbed, until the salmon just starts to release (some might say ooze) its fat (opaque mayonnaise-y stuff) and/or the flesh flakes easily, 10 to 15 minutes for most 1-inch-thick fillets.3  Allow another 10 minutes for each extra inch of thickness.reparation. 1  Heat a grill, either charcoal or gas, to medium-high (you should be able to hold your hand about 1 inch above the cooking grate for 3 to 4 seconds before pulling it away from the heat). 2  While the grill heats, prepare the salmon fillet(s): Rinse them and pat them dry. 3  Brush the cooking grate with oil.