In SAFe, product management plays an important role in helping an organization adopt and implement the Lean-Agile SAFe framework successfully. Product management is responsible for ensuring that the right products are delivered to the market, at the right time, and with the right features.
In order to do this, product management must first understand the market needs and then align the product strategy with the business strategy. They must also work closely with engineering and other teams to ensure that the products are being built according to the product roadmap and requirements. Finally, product management is responsible for managing the product lifecycle, from idea to delivery to end-of-life.
If you want to learn more about the role of product management in SAFe, I suggest reading this article: https://www.scaledagileframework.com/product-management/.