Industry 4.0 concept is captivating the attention globally in a substantial rate that encompasses industrial digitalization with the means of advanced technical features. Maintaining the highest standard of industrial processes, Industry 4.0 demands to ensure energy efficiency also. Industries must ensure energy efficiency during the process flows, keeping in mind about the energy cost, carbon emission, and resource efficiency. Unfortunately, despite a significant potential for energy efficiency exists, that can be addressed by industries, implementing energy management practices. However, industries are still disinclined to take advantages of such opportunities. Research in this domain has little explored the potential relationships between energy management and Industry 4.0. In the paper, we aim at offering an overview of industrial energy management and related tools as well as Industry 4.0, preliminary discussing potential opportunities and synergies.