I have no first hand experience in this in a bdsm scene, however it seems to me that the solution to such response in a submissive requires that she tell his/her partner...

... and it then becomes incumbent upon the dominant to ensure that there is no fear in any scene he devises. That means open communication about what a scene will entail and plenty of planning.

Fear is a response to the unknown or a response to an attack. Planning and conversation can eliminate the unknown. Foreknowledge will eliminate any attack response.

Now, if the sub doesn't know s/he's prone to catatonically freezing, I can't imagine anyone but a totally self-centered dominant not becoming aware of a lack of response of any kind in the submissive. After all, in effect, it's not far removed from what we call subspace... if it's any different at all.