Hi,
Looking at the battery model number for an Asus UX303LA laptop battery i.e. ''C31N1339'' from an [https://www.asusparts.eu/en/asus/notebook/u-series/ux303la?ProductCategory=Battery|Asus parts supplier] it is the same battery model number as what is shown for the battery on the ifixit website, so it should be compatible.
It is the same battery model number for an Asus UX303LB and UX303LN also