Copy Azure SQL Database Between Azure Subscriptions
Another option is to use CREATE DATABASE, as per Richard Hauer's answer on Stackoverflow (which I executed from SQL Server Management Studio v17.5):

CREATE DATABASE db_copy AS COPY OF ozabzw7545.db_original;


Some important notes:


SQL admin account and password were the same on both servers.  
Servers were in different subscriptions.  
Servers were on the same Tenant, checked via Azure PowerShell console with:

(Get-AzureRmSubscription -SubscriptionName &lt;your-source-subscription&gt;).TenantId 
(Get-AzureRmSubscription -SubscriptionName &lt;your-destination-subscription&gt;).TenantId



You can monitor the progress with:

SELECT state_desc, name 
FROM sys.databases 


Reference Links:


https://docs.microsoft.com/en-us/sql/t-sql/statements/create-database-azure-sql-database?view=azure-sqldw-latest#creating-a-copy-of-a-database-on-another-server
https://docs.microsoft.com/en-us/azure/azure-resource-manager/resource-group-move-resources
https://docs.microsoft.com/en-us/azure/sql-database/sql-database-copy