You'll only see the switch/router if it sends out a packet. If this is an inband IP address of a switch, it will not send a packet out unless it is trying to reach a log host, time server, or some kind of authentication server. If it is a router, it will send out ARP requests if it has a packet for a system that should be on its network for which it does not have a MAC address in the ARP tables.
FWIW, I'd use nmap, scan a network and search for open, known ports of the device in question, i.e. if you suspect it is on 172.22.34.0/23 and the device supports http management, nmap -p 80 172.22.34.0/23 and wait for it to find the device. You can then target for additional services at the specific address.