Cockroaches have survived as a species for more than three hundred million years and are one of the oldest fossil insects. Although most people loathe cockroaches, they are considered protective spirits in parts of France and Russia. Their arrival is a sign of good luck. Naturally, it is also an indication of bad luck when they leave. Dreaming of a cockroach is a sign that you're starting to understand and accept feelings or emotions that you previously repressed. Unpleasant situations or experiences in the past might need to be re-examined dispassionately to see what lessons can be gained from them.