I think you need check some setting in your network :
1. Routing and gateway in your network.
you setting gateway on your switch , you also need check session reply can back to you .
2. DNS setting is correct before you ping FQDN
you need setting name server,and you can get ip-address when you ask FQDN to DNS on your switch before PING FQDN.
3.checking outgoing policy can let your switch ping out .
It's mean you need make sure your company 's out going policy can let your switch's ip-address can pass through with your firewall, IPS....etc.