Hi @iasonaspappas
Here's the [http://www.csportal.panasonic-la.com/descargaspla/PANAMEX/DIGITALES//CAMARAS//ALTO%20ZOOM/DMC-ZS25PU/DOCUMENTO/MANUAL%20DE%20SERVICIO//DMC-ZS25PU%20M%20servicio.pdf|service manual] for the camera.
Go to p.21 to view the disassembly flowchart. Follow the steps to disassemble the camera so that you can access the charge port connector.
Unfortunately there's no parts list in the manual, so I don't know what the part number for the port is.