I wanted to synchronize the business hours and holidays to Azure SQL using the data export service in Dynamics 365. I can't find the entities that I needed to synchronized, is it possible to do and if it is which entities should I synchronized?
You are looking for special entities that too very complex internal type entities, which is not available for enabling change tracking & thus Data Export service (DES) cannot replicate in Azure SQL. Read more
Probably you can use the REST Web API endpoint [organization URI]/api/data/v9.0/calendars
to pull these & store explicitly. I have not tried it, but did a simple browser test successfully. Reference
Worst case, create them manually in SQL directly for usage. Instead of all the above complicated route.