Hi,
This is by design.
You wont be able to ping an interface IP address that is a remote interface for the source LAN.
So lets you have the following interface
interface Vlan10
nameif LAN
security-level 100
ip add 10.10.10.1 255.255.255.0
interface Vlan20
nameif DMZ
security-level 50
ip add 10.10.20.1 255.255.255.0
Hosts behind the interface "LAN" will be able to PING that interface IP address and the hosts behind the interface "DMZ" will be able to PING that interfaces IP address.
However hosts behind "LAN" wont be able to PING the "DMZ" interface IP address nor will the hosts behind "DMZ" be able to PING the interface IP address of "LAN".
Hope this clarifies things
Please do remember to mark the reply as the correct answer if it answered your question.
- Jouni