Polypeptides are a class of important biomaterials that are extensively utilized in applications such as drug delivery systems, sensors, tissue engineering, biomimetic synthesis of ordered inorganic nanostructures, and catalysis. In particular, the association of polypeptides to polyesters in copolymer architectures provides versatile original materials. However, the catalytic formation of this type of peptide‐based copolymers remains a considerable synthetic challenge. Here, a new strategy to obtain copolymer materials by one‐pot catalysis is reported, which confers great interest to the approach.