That is known as the Pet Palette.
You can't turn it off, but you can invoke most of the commands by keyboard shortcuts before you invoke the pet palette - certainly the move commands (drag, rotate, mirror, etc.).
But once the pet palette is open then, you have to pick from one of the choices - or ESC or right click +cancel to close it.
You can press the "F" key to cycle forwards through the options (SHIFT+F will go backwards).
But as far as I know, you can't pick a particular command with a keyboard shortcut once it is open.
One of the forum moderators.
Versions 6.5 to 25
Dell XPS- i7-6700 @ 3.4Ghz, 16GB ram, GeForce GTX 960 (2GB), Windows 10
Dell Precision 3510 - i7 6820HQ @ 2.70GHz, 16GB RAM, AMD FirePro W5130M, Windows 10