Because menu documents can be used on many pages, microflows used in a menu cannot have parameters.
To make something that looks similar to a menu, you could put a series of action buttons inside of a dataview on your page. These microflows would be able to receive parameters. If you put them inside of a layout grid and borrowed some styling from the out of the box menus, you could probably get them to look very similar to a side menu.
Hope that helps,