@Chandran, Vinitha Thanks for reaching out.
Logic app does support oracle connector but unfortunately there are no actions/trigger that can help you to run the package from logic app.
As the Oracle Database connector doesn't support executing packages directly. Instead, you can use the "Execute a SQL query" action if this could help with your use case.
Alternatively if there are any API's from Oracle end that can help you then you can create your custom connector for your requirement.