Ive been using an app called FileShuttle (http://fileshuttle.io) to share files on my Mac

Is there an equivalent program on Linux?

Basically, you enter your FTP server info into the app and it sits in the tray. When you drag/drop to the icon, it uploads it to the FTP Server, and puts the HTTP link (the HTTP link is hosted by a webserver that looks in the FTP folder) in the clipboard.