Hi Mahdi,
Sometimes Microsoft will place restrictions for certain regions/subscription types due to capacity restraints. What you can do is request access to the region using my instructions below, and they will respond to your request (they may or may not grant you access).
Please carefully follow my instructions below to create a new Service and subscription limits (quotas) request to allow access to deploy Azure Database for PostgreSQL Flexible Server in South Central US.
1. Navigate to this link to start the process:
https://portal.azure.com/#view/Microsoft_Azure_Support/HelpAndSupportBlade/~/overview
2. Click Create a support request button at top
3. If you see Support AI Assistant as shown below, click Switch to old experience button on right. If not, proceed to step #4
4. Enter quota in the box and click Go
5. Select Others / Service and subscription limits (quotas) and click Next
6. Click Create a support request button, as shown
7. Select Issue type: Service and subscription limits (quotas), Subscription, Quota type: Azure Database for PostgreSQL Flexible Server, click Next
8. Now you should be on Additional details tab. Click Enter details
9. Select Region access or Region access with zonal dependency, select Location you need (South Central US), enter number of cores, click Save and continue
10. Finish filling out Additional details tab, click Next, review and click Create. You should receive an automated email within a few minutes.
Please click Accept Answer and upvote if the above was helpful.
Thanks.
-TP