Brian,
I am not real sure I understand your question however I will take a shot at answering it.
Are you looking for the VI setting that closes the front panel after it finishes running? If so it is under VI Properties>>Window Appearance>>Customize. Here you can select show front panel when called and close afterwards if originally closed. With this you will be able to open the VI and then when the SubVI is finished it will close its front panel and then the main VI will continue running.
I imagine that the reason the button is stuck ON is that the SubVI is still running, so that the main VI has not reset the button.