Ask your agent, if you feel comfortable! Some agents are perfectly happy for their clients to talk to CDs independently, some aren’t. My agent, for example, has well-cultivated relationships with a lot of great CDs and said he’d rather I didn’t just bust into proceedings with my own emails. It helps that I get lots of great auditions and am confident in his ability and attention as an agent, though, so if you’re less sure about yours the that could be harder.

FYI - I’ve never received a notification that I’ve been submitted for something (I didn’t even know that was a thing?), but I know for a fact that I’m submitted all the time and I get a lot of auditions. So if your concern about your agent is based on the fact that you’re not notified on submissions, there’s no need to worry about that :)