Over the past decades, ever increasing production volumes have made the fashion industry a major contributor to anthropogenic climate change and numerous other types of pollution. As a result, the garment industry has been urged by scientists, lawmakers and consumers to reduce its environmental impact. With the majority of impacts being caused at the production stage, ambitious and rapid environmental gains can be aimed for through the improvement of manufacturing practices. While a large number of manufacturing methods - such as Lean Manufacturing, Six Sigma or Agile Method - have been thoroughly applied and studied in sectors such as automotive and electronics, academic literature on their use in the fashion industry remains relatively lacking, let alone for environmental impact. As a result, a cross-analysis framework was developed, aiming to qualify industrial performance methods in terms of potential environmental impact improvement and their applicability to the fashion industry. Subsequently, the literature review was conducted and showed major gaps in the literature, highlighting opportunities for future intervention research on the implementation of sustainable manufacturing practices in fashion supply chains, including through full implementation of Industry 5.0 in the fashion industry, and the role of worker engagement in sustainability performance.