If that is a representative view of your nested tables then
Code:
Dim oTable As Table
Dim oTable2 As Table
Dim oCell As Range
Const strPath As String = "" 'Put the folder path here e.g. "C:\Path\"
Set oTable = ActiveDocument.Tables(1)
Set oTable2 = oTable.Range.Cells(4).Tables(1)
Set oCell = oTable2.Range.Cells(6).Range
oCell.End = oCell.End - 1
ActiveDocument.SaveAs Filename:=strPath & Replace(oCell.Text, "/", "") & ".docx"