This one depends more on what your hand cream is made of. If it's oil-based, like most hand creams out there, it's okay to put it on even at the same time as you use a sanitizer. That's because the oils of hand creams and the alcohols in sanitizers are miscible. This means they can mix together without a problem. On the other hand, water-based hand creams won't mix. However, you might be better off washing your hands before applying hand cream at all. This makes sure that the water your skin absorbed from all the washing gets trapped inside. It's a great thing to know when you're on the clock all day with your hands inside humid gloves.