The interactive digital narrative (IDN) is an interdisciplinary field connected to narrative studies, design, human-computer interaction, and gaming. In this contribution, IDN is investigated from the designer’s perspective; it deals with the use of prolific artificial intelligence (AI) support systems in this area, highlighting the need to examine their potential. However, the features and essential components of the AI support system are not systematically categorised. This paper fills the aforementioned gap by providing a literature review of twenty academic contributions that make it possible to identify the types and categories of AI support systems, narrative elements, and types of creativity. The study is conducted keeping at the centre the relationship of collaboration between the human and the AI system concerning the production of narratives. As the main contribution to knowledge, the literature review identifies the problems and the gaps and underlines future research directions.