@Emmi Wyttenbach: You cannot raise the parameter window while editing the layout (because the mechanism will delete and regenerate the cell whenever a parameter changes). You need to have an empty/test layout, with the parameterized cell placed in it as an instance. Then select the instance, and type Ctrl-p.
If you want to make very specific layouts for the common-centroid layout, you might want to avoid using the parameterized devices altogether, and just draw the transistor directly. Alternately, you can directly edit the parameterized cell (but don't use the parameter GUI window after you do, because as mentioned above, the cell will get deleted and regenerated, and any edits you make inside the cell will be lost).
@Jon Ho: If using the parameterized device generator, then the individual transistors within a single parameterized device (using M or number of fingers) are locked. But you can also just remove the guard ring, instantiate (or array) the transistor multiple times and place them in whatever arrangement suits you.