I have Kali connected to my home router (have DHCP) by eth0. Gateway 10.0.0.1. IP in Kali 10.0.0.150. In Kali open Desktop Sharing to connect from home network devices by VNC.

Then I connecting (using standard Network Manager in Kali) to WiFi network by wlan0, also router with DHCP, gateway -10.0.0.2, IP on wlan0 is 10.0.0.20.

Ok. but I can't ping new network and gateway. I see only my home network (with gateway 10.0.0.1).

How I need setup my TCP/IP routing to see two networks in parallel?
What route I need add to keep my lan on eth0 and see lan on wlan0?

Thank You. Sorry for my English.