The dream where you see yourself as a zombie symbolise that you are emotionally separated from people and situations that are currently surrounding you. You are not keeping in touch with them. A walking zombie reflects your negative life satisfaction and tells you that you are just living day by day and do not enjoy the life.
If you see someone as a zombie means that you have lost your emotions towards that person. You are distanced now and have nothing in common.
If in your dream zombie attacks you, reflect that you are too tired at your work and need some rest. Probably you are under enormous stress in your waking life. Take a break and relax.