making a local network connection between a router and openbox S10 HD

Hello, what do mean with "router" connection? for local network/sharing you must have 2 receivers minimum: the server & your box.
very simple if trusted server(home or friend)

server box :

in cccam cfg
F: user1 user1 # with this line you share all from the box

Client box:
in cccamcfg:
C: 192.168.1.3 12000 user1 user1 >> server_box_ip port name pass

Simple again if you need a extra box :
put the same cccam cfg in the 3nrd box

:69:

if you just want to connect the s10 to your router use an ethernet patch cable between to the S10 and router as you say. or 2 homeplaugs if the distance between router/S10 is too great.

To check connection, on the remote press

Menu, scroll over to network setup, press enter, then network setup, ensure DHCP is set to ON, then scroll to apply, press enter.

an ip address on your network should now be displayed in the IP Address field