Moved Telegram folder to /opt and then edited (created) /usr/share/applications/Telegram.desktop
[Desktop Entry]
Encoding=UTF-8
Name=Telegram
Exec=/opt/Telegram/Telegram
Icon=/opt/Telegram/telegram128.png
Type=Application
Categories=Network;
I had to go download telegram128.png separately. Also annoying.
Google gave me this site to get it. http://deshack.net/install-telegram-for-linux-as-an-application/
right click and save if you want it yourself.
telegram128.png