Hello Ben,
Welcome to Atlassian community.
Unfortunately, CRM for JIRA Cloud app only supports the integration with Salesforce, Microsoft Dynamics, and Hubspot.
That being said, I found two third-party applications that provide this kind of Universal Connector for Both JIRA and Copper, although they are not supported by Atlassian:
Tray-io - Copper and JIRA integrations
Zapier integration - Copper and JIRA Cloud
Please, give it a shot on a JIRA Cloud instance and let us know if it works for you.
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