EC2 available in Phoenix Local Zone?

Hello.
Indeed, we have confirmed that there are no hits when searching for available instance types from the management console.

Since us-west-2-phx-2a is a new local zone, maybe it has not been addressed in time.
https://aws.amazon.com/about-aws/whats-new/2023/07/aws-local-zone-phoenix-arizona/?nc1=h_ls

I suggest you contact AWS support by opening a case with "Account and billing".
https://docs.aws.amazon.com/awssupport/latest/user/case-management.html

Agree with Riku's answer above. Giving phx-2a is fairly new, it's possible there is currently limited capacity. Please continue to check as capacity can change dynamically. Also per https://docs.aws.amazon.com/AWSEC2/latest/UserGuide/using-regions-availability-zones.html, as Availability Zones grow over time, our ability to expand them can become constrained. If this happens, we might restrict you from launching an instance in a constrained Availability Zone unless you already have an instance in that Availability Zone. Eventually, we might also remove the constrained Availability Zone from the list of Availability Zones for new accounts. Therefore, your account might have a different number of available Availability Zones in a Region than another account.