You can receive a sound notification when you receive a ticket through round-robin. The sound will still be played even if your browser is minimized.
By default, sound notifications are enabled for all agents. To opt-out or choose a different sound, go to Playlist setup > Personal > Sounds.
In order for your browser to play the sound, you must first interact with the app (i.e. by clicking anywhere on the app).
If you have used Zendesk Chat before, you might find this limitation to be familiar. Chrome and other browsers now require users to first interact with a site's domain before a sound can be played. A quick way to get around this limitation is by simply setting your status to Online when starting out your day.
Also, avoid using Incognito mode since it does not preserve your history of interacting with the app.