As far as I can tell by the style, this statue would be at least post 14th-century, maybe even later. The head seems wearing a tiara 1, meaning it could be a pope. I've seen some of these (very similar) in small churches in France and Belgium (Flanders). Most of them are from local artists.
The coat/cape is held in the front with a piece of jewelry like bishops or pope (or even kings) wore.
The statue is missing its arms, which would probably hold its own symbols or the ones symbolizing the power of the pope, one or both hands. One hand can also hold a type of crosier while the other is blessing.
You can see a similar statue 2 of a 16th century carved, polychrome painted and gilt wooden figure of a bishop (Southern Netherlands, Flanders) (probably of a better craftmanship though).
If we can't be really sure about what it is, we may eventually eliminate what it's probably not: a merovingian/carolingian statue.