I have had 19 of these Crescent 92320 (and Monark 90320 - the same bike - different decals and colours) thru the years. They all have French bottom bracket threads 35x1 and English threaded headset (Italian will work too). If they do not have threads for an English headset - the frame is not a 320 but a lesser model (unless it is a late 319 with black Dura Ace)
Monark I built and that I still own:
Crescent that I restored before digital cameras (paper photo scanned). It was just a bit over 10 years old when I restored it...