SSIS integration Run time in Azure provides the infrastructure to run SSIS packages. I have moved my SSIS packages with third-party custom tasks, and it worked fine in Azure. You can deploy your package as is to azure.
That's great to hear! What steps did you have to take to put the custom components in the right directory on the PaaS instance? e.g. to c:\program files (x86)\Microsoft SQL Server\110\dts\tasks