Each operation should be doable both with mouse and keyboard.
How to switch workspaces without a keyboard in Xfce?
3 Answers
You may want to switch workspaces with mouse wheel.
Move your mouse to hover the Workspace Switcher on Xfce panel and then rotate mouse wheel up or down.
This behavior is enabled by default (see settings):
Make sure you have the "Workspace Switcher" item added to your panel. Then just click with the mouse on which panel you want.
1If you need more control than what the built-in keyboard shortcuts give (e.g. switching workspaces from a script), you can switch workspaces with wmctrl.
wmctrl -d will list workspaces ("desktops"), while e.g. wmctrl -s 0 will switch to the first one.