There doesn't seem to be a lot of support for Foxpro with ArcGIS. From looking through past forums, some questions were never answered and others had solutions that didn't work out:
(there are links to arcscripts that appear to not really work?)
Maybe take a look at this article from Esri. It's for a much older version of ArcGIS but it may be helpful:
I only had access to Pro yesterday, but was able to view and access a .dbf file directly (without any OLE DB connection file). For testing purposes, I copied and renames a .dbf from a shape file, so it was a pretty clean file to begin with. Just an fyi, for anyone wondering. I did not check to see if editing was available.
The other option for .dbf files is to read them into Excel and would with them in that format.