If your cut of fish isn't too far gone: as in the flesh is still firm and it's only a few days thawed at most, a quick soak for about 10-20 minutes in a bowl of milk will help get rid of the odor.owever, after the fish has come home, gone into the fridge, or been frozen and thawed, even your freshly bought fish may start to take on a fishy smell. The solution is easy: A quick soak in a bowl of milk, and that fishy smell is all gone.