• The macro will copy a part of the first worksheet of every file that is in the folder C:\Data to the first worksheet of your workbook.
• The first macro does a normal copy and second macro copy the values.

Sub CopyRange()
    Dim basebook As Workbook
    Dim mybook As Workbook
    Dim sourceRange As Range
    Dim destrange As Range
    Dim rnum As Long
    Dim i As Long
    Dim a As Long
    Application.ScreenUpdating = False
    With Application.FileSearch
        .NewSearch
        .LookIn = "C:\Data"
        .SearchSubFolders = False
        .FileType = msoFileTypeExcelWorkbooks
        If .Execute() > 0 Then
            Set basebook = ThisWorkbook
            rnum = 1
            For i = 1 To .FoundFiles.Count
                Set mybook = Workbooks.Open(.FoundFiles(i))
                Set sourceRange = mybook.Worksheets(1).Range("a1:c5")
                a = sourceRange.Rows.Count
                Set destrange = basebook.Worksheets(1).Cells(rnum, 1)
                sourceRange.Copy destrange
                mybook.Close
                rnum = i * a + 1
            Next i
        End If
    End With
    Application.ScreenUpdating = True
End Sub

Sub CopyRangeValues()
    Dim basebook As Workbook
    Dim mybook As Workbook
    Dim sourceRange As Range
    Dim destrange As Range
    Dim rnum As Long
    Dim i As Long
    Dim a As Long
    Application.ScreenUpdating = False
    With Application.FileSearch
        .NewSearch
        .LookIn = "C:\Data"
        .SearchSubFolders = False
        .FileType = msoFileTypeExcelWorkbooks
        If .Execute() > 0 Then
            Set basebook = ThisWorkbook
            rnum = 1
            For i = 1 To .FoundFiles.Count
                Set mybook = Workbooks.Open(.FoundFiles(i))
                Set sourceRange = mybook.Worksheets(1).Range("a1:c5")
                a = sourceRange.Rows.Count
                With sourceRange
                    Set destrange = basebook.Worksheets(1).Cells(rnum, 1). _
                                    Resize(.Rows.Count, .Columns.Count)
                End With
                destrange.Value = sourceRange.Value
                mybook.Close
                rnum = i * a + 1
            Next i
        End If
    End With
    Application.ScreenUpdating = True
End Sub