Hi @alvaro032 ,
The charging port is hard mounted onto the motherboard.
You will need smd (surface mount device) soldering skills and tools to do the repair. It is not a job for novices.
Here’s a video that shows how to remove/replace the micro USB port from the motherboard. Suitable replacement micro USB connectors are available online. Just search for Moto C charge port connector to get results. Ensure that you get the correct one as not all micro USB connectors are the same. The pinout connections are the same but the position and number of mounting lugs that secure the port to the motherboard can vary, that’s why it is important to get the correct one for your model phone.
Here’s the ifixit Moto C Motherboard Assembly Replacement guide, which will help you to remove the motherboard from the phone so that the port can be replaced.
If doing this yourself seems too daunting, contact a reputable, professional mobile phone repair service and ask for a quote