Your SSIS package is access on-premise local Oracle DB.
As you know, Azure can not connect to on-premise resource directly. For example, when we need access the local SQL server, we must use Self-host integration runtime.
When deploy it to Azure and run the package in Data Factory, you will get the error.
We can get the reason from the document: Azure-SSIS Integration Runtime:
Azure-SSIS IR network environment
Azure-SSIS IR can be provisioned in either public network or private network. On-premises data access is supported by joining Azure-SSIS IR to a Virtual Network that is connected to your on-premises network.
The solution: Join an Azure-SSIS integration runtime to a virtual network:
If your SSIS packages access data stores/resources that allow only specific static public IP addresses and you want to secure access to those resources from Azure-SSIS IR, you can bring your own public IP addresses for Azure-SSIS IR while joining it to a virtual network and then add an IP firewall rule to the relevant resources to allow access from those IP addresses.
I'm sorry I can't test it for you because I don't Oracle environment.
Hope this helps.