Does AWS Application Load Balancer Support TLS 1.3?

TLS 1.3 support in the Network Load Balancer has just been announced, so I think it's reasonable to expect that the new TLS 1.3 policies, such as ELBSecurityPolicy-TLS13-1-2-2021-06, will also be available on Application Load Balancers in a few weeks.

It does not support it. The supported versions are listed here.

I submitted a feature request in AWS support center today. Excerpt from the response:

I have taken a look internally and can see that we have an existing feature request for ALB to support TLS 1.3, which is a very popular request among our customers. Unfortunately, as the development process is internal, i wouldn't be able to provide you with an ETA on when ALB support for TLS 1.3 will be implemented at this time. Please be assured, that I have added your voice to this feature request so that this case can be used as supporting evidence for this feature and so it can gain priority among the internal team responsible for development.