Remote Desktop Connection is not available for Linux but there are plenty of alternatives that runs on Linux with similar functionality. The best Linux alternative is TeamViewer. It's not free, so if you're looking for a free alternative, you could try Chrome Remote Desktop or DWService. If that doesn't suit you, our users have ranked more than 100 alternatives to Remote Desktop Connection and loads of them are available for Linux so hopefully you can find a suitable replacement. Other interesting Linux alternatives to Remote Desktop Connection are AnyDesk (Free Personal), TightVNC (Free, Open Source), NoMachine (Freemium) and X2Go (Free, Open Source).
Splashtop is the next-generation remote access, remote support, and collaboration solution. Splashtop is optimized for the highest remote desktop performance. It's a faster and simpler alternative to GoToMyPC, LogMeIn Pro, and other remote access solutions.
RemoteView is a service that lets you remotely access your computers and mobile devices through your internet connection, regardless of time and place. All you need to do is install the agent on your remote computers, Android devices, and servers.
The SPICE project aims to provide a complete open source solution for remote access to virtual machines in a seamless way so you can play videos, record audio, share usb devices and share folders without complications.
AccessToGo is the fastest mobile RDP remote desktop client for Microsoft operating systems. Its unique patent protected technology provides unparalleled usability and productivity by automatically resizing all Windows objects to optimal size.