How to open all ports on local server needed by Plesk for Linux automatically?

Go to Tools and Settings > Firewall and click Enable Firewall Rules Management:

In the next window, if you wish to preview the script, click the Preview button. To finish applying the configuration press the Enable button:

Connect to the server via SSH.

Enable firewall rules management:

# /usr/local/psa/bin/modules/firewall/settings -e

Confirm enabling the firewall rules management within 60 seconds:

# /usr/local/psa/bin/modules/firewall/settings -c