Hi,
We can use Visual Studio to debug a SharePoint and AZURE Website app.
The steps as follows:
1. Open Server Explorer in Visual Studio 2013, right-click on the Windows Azure node and select Connect to Windows Azure...
2. Expand to see all the Azure services, and then expand the collection of Web Sites.
3. Right-click on the Azure web site where you published your provider-hosted app and select Attach Debugger.
4. The browser opens to your Azure web site, and VS.NET starts up in debugging mode. Set your breakpoints in your code and start debugging!
More information is here:
Debugging SharePoint Apps That Are Hosted In Windows Azure Web Sites
http://blogs.technet.com/b/speschka/archive/2013/11/25/debugging-sharepoint-apps-that-are-hosted-in-windows-azure-web-sites.aspx
Best Regards
Dennis Guo
TechNet Community Support
