Использование Variant Array просто и быстро.
Sub test()
Dim Ws As Worksheet
Dim toWs As Worksheet
Dim vDB, vR()
Dim i As Long, n As Long, c As Integer
Dim j As Integer
Set Ws = Sheets("yoursheetname")
Set toWs = Sheets("Database")
vDB = Ws.UsedRange
c = UBound(vDB, 2)
For i = 1 To UBound(vDB, 1)
If InStr(vDB(i, 1), "Country Code:") Then
n = n + 1
ReDim Preserve vR(1 To c, 1 To n)
For j = 1 To c
vR(j, n) = vDB(i, j)
Next j
End If
Next i
toWs.Range("g2").Resize(n, c) = WorksheetFunction.Transpose(vR)
End Sub