You have the ability to move an integration from one service to another if need be. You can move integrations between as many services as needed, as many times as needed and all incidents tied to that integration will follow.
Note: Your integration key will NOT change after moving the integration from one service to another.
Go to the Configuration menu and select Services.
Click on the service which contains the integration you would like to move.
Go to the Integrations tab on the Service's page. Then use the settings gear next to the Integration to select the Move to Another Service option. You have the option rename the integration before or after moving it.
Note: If the settings on the service you are moving an integration to differ from the current service, you'll receive a warning message with the option to proceed or cancel.
Select the Destination Service where you would like the Integration to move to, and click Move Integration.