Hi Carl Peterson,
Glad to hear that server back online.
Yes, if the server is in a restart state, you may need to wait for some time for it to come online. However, if it takes longer than expected, you should open a support ticket to check the server's health.
What causes long recovery on Azure Database for PostgreSQL- Recent checkpoints are critical for fast server recovery. Once a restart happens, either it was a new instance (failover to healthy instance) or same instance (in-place restart) will connect to disk that has all logs, all WAL logs after the last successful checkpoint need to be applied to the data pages before the server starts to accept connections again.
Thank You!