A polymer construct includes at least one extruded degradable polymer layer having a host polymer material and at least one amphiphilic star-shaped polymer miscible with the host polymer material. The star-shaped polymer includes a polymer core and polymer branches extending therefrom to define a shell around the core. A guest agent is loaded on and/or within the core. The polymer construct upon delivery to a site of interest provides controlled and/or sustained release of the guest agent upon degradation of the at least one polymer layer.