But is this a incipent stall you are recovering from or a fully developed?
If it is incipent then there will be different methods or putting it better shall ways say degrees of how much action you must take with the elevator.
For a fully developed you have to decrease the angle of attack even if its for a brief moment to allow the acceleration through the very beginning of the drag curve.
And even if the CP does move which then unstalls you if you don't change the position of the elevator you will be back to where you started, if you don't have enough grunt to dig yourself out of the dirty side of the curve.