If you’re fighting to neutralize the dog smell out of fabrics, you may want to start by removing all the dog hair and dust from the blanket first, as this is often the culprit of foul odors.One natural and effective way to go about it is to include baking soda in the cleaning routine of your blankets. Another readily available and organic product you can use is white vinegar. Simply add one tablespoon of bicarbonate or a quarter cup of vinegar to the water - if handwashing - or to the detergent drawer of your washing machine.