This didn’t make it into the canon, just like the book of Maccabees didn’t (Catholics, le havdil, view Apocrypha, such as Maccabees, Baruch, Bel and the Dragon, etc. as Mikra).
There exists a minhag among some communities, including some Temanim, Italkim, etc. to read this on Shabbat Chanukah, similar to how Ashkenazim read Kohelet and Shir haShirim on Shabbat CHM Pesach and Sukkot.