You can receive support requests at a Gmail or Google Workspace account and forward them to your Zendesk email address.
If you're using a different email client, see Forwarding incoming email to Zendesk Support.
Optionally, you can edit or create an SPF record to verify that Zendesk can send email on behalf of your email server. See Allowing Zendesk to send email on behalf of your email domain.
Automatically forwarding messages from your Gmail account
With Gmail, you can choose to forward all of your new messages to another email address or only forward certain types of messages.
For details on how to configure forwarding, see Automatically forward Gmail messages to another account on Google's website.
Redirecting incoming messages to another email account
You can add an alias to an email address to route incoming emails from one address to another. For example, you might have an employee leave your organization, but you still need to ensure that you don't miss customer messages. Redirected messages don't include message history and appear to come directly from the original sender.
For details on how to redirect incoming email messages, see Redirect incoming messages with address maps on Google's website.