While you cannot change a shift’s day on the “Quick Shift Edit” layer you can do so a number of different ways.
You can “drag/drop” a shift to another day of the week on the Calendar Weekly and By Employee schedule views.
If you are clicking a shift and seeing the “Quick shift Edit” layer you can click the “Available Employees” link at the bottom to open the “Shift Change” window which allows you to edit the day of the week as the first option.
Note that if you prefer to use that Shift Change window directly when clicking a shift on the By Employee view you can use the “Change Layout” option to turn off the Quick Shift Edit.
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