The native function of this kind of app is not different to web-based ones. Most desktop email client apps have the capability to handle multiple accounts. There are so many options of desktop email client apps out there - starting from fully free to freemium. Microsoft Outlook is the major subject when it comes to desktop email client apps.
If you are on the list, then you should consider some apps I am going to mention. Instead of accessing inbox from the native web-based email client, some people prefer to use a desktop-based email client app for some reasons.
