Does the property have the right to disconnect my network cable?

First of all, the property has no right to cut off your network cable.

But if your behavior affects the appearance of the whole community, the property management company has the right to let you rectify it, which is also for the benefit of other owners. Imagine that if every owner pulls the network cable (or other lines) indiscriminately, the community will not be confused. Then the property company loses its meaning of existence.

If you don't listen to the advice of the property management company, the property management company can cut off your network cable, which is the right given to the property management company by all owners.

Second, if you want to complain about the property management company, you can complain to the local real estate management office or to the local property management association.