Jungian psychology and fairy tales can be correlated together within many different ways. Jung is similar to Freud when it comes with the unconscious mind, the unconscious mind is often related to fairy tales because the most common way that lessons are taught to children in fairy tales is through the unconscious. Fairy tales speak to children and send them messages in ways that they don't fully understand, as children grow they recognize more and more but within the early stages of their life they are learning mostly from unconscious lessons that are given to them through things like fairy tales. Jung focuses a lot on the aspect of dreams and, mysticism and since fairy tales are somewhat like the distant relative of myths which are directly correlated with mysticism they are often related to each other.
Jung goes into the idea that fairytales have Psyche which represents the self within them, for instance Jung talks ago the ego, libido, personal, shadow, and self all being involved within the unconscious the Psyche which can be found within the common fairy tale. Another point that Jung makes when saying that the unconscious plays a role within fairy tales, is that all characters within fairy tales involve archetypes which always unconsciously represent something to the children. For instance The Wise Old Man in fairy tales which is present in the beginning often is taken out of the picture, and this can often relate to different children's unconscious in many different ways, depending on the child's sociocultural situation.