How to Filter from specific mailboxes

I have a question

We have multiple teams looking after different clients all with their own mailboxes. For example when we get querys into our mailbox it creates a ticket in FreshDesk, which is fine but we also when looking at unassigned tickets get everybodies elses. Is their a way that I can filter just the mailbox that it has come from for example support@testtest.co.uk. The tickets show who sent the email into the support inbox.

Would we need to create a custom field in the api so that we can filter just the tickets we need.