It depends on where you are. In the U.S., we would say "December fourth" for any of these and write it as either December 4 or December 4th. If you're also giving the year, you would leave off the "th" (or "st" or "nd"). So any of these would work:
December 4, 2022
December 4
December 4th
In the U.K., they write 4th December. I think they say both "December fourth" or "fourth of December."
I have heard Jamaicans say "four December" and "December four," so perhaps there is also a Caribbean variant. Not sure how they write it.
So: I suggest saying "December fourth," but writing either December 4 or 4 December, depending on who's reading it.
Sorry that's not very straightforward...