You can plug your Ruckus 7363 behind RT-N14U LAN port but Asus WiFi router only supports 100/Full speed so you will not be able to utilize 1G port capacity available on Ruckus AP.
Since Asus router do not supports POE output so you have to power up your Ruckus AP using POE injector or power adapter.
Still you can connect Ruckus AP behind Asus WiFi router on one of the LAN ports and can extend the coverage or you can also choose to disable WiFi on Asus and use Ruckus 7363.
If you are not planning to extend WiFi coverage using Asus+Ruckus AP then I will suggest disabling WiFi on Asus and use if just as a router and let Ruckus AP cover WiFi.
Syamantak Omer | Community moderator | Staff TSE | CWNA | CCNA | RASZA | RICXI | Follow me at https://linkedin.com/in/syamantak-omer-5949b6124