I think your question is confusing because what you really seem to be wanting to do is save a single value as a CSV. The quotes that are being created, are likely from other parts of your file. There's probably better methods to accomplish what your overall objective is. Here's a good StackOverflow post on CSV files via excel that might be useful.
Regardless, here are two solutions to save your Named Range value as a CSV file using a macro. Make sure the named range is at the workbook level (not sheet).
Option One
Sub MakeASingleValueCSVFile()
Dim FileName As String: FileName = "filename.csv"
Dim PathName As String: PathName = Application.ActiveWorkbook.Path
Dim finalValue As Double: finalValue = Range("MetricValue").Value
Dim iFileNum As Long
iFileNum = FreeFile
Open PathName & "\" & FileName For Output As iFileNum
Print #iFileNum, finalValue
Close #iFileNum
End Sub
That has some spacing issues you might not like.
Option 2
(updated with more dynamic solution that initial question)
Const FileName As String = "filename2"
Const namedRange As String = "MetricValue" 'make sure at workbook level
Dim PathName As String: PathName = Application.ActiveWorkbook.Path
Dim pullRNG As Range: Set pullRNG = Range(namedRange)
Dim wkBK As Workbook: Set wkBK = Application.Workbooks.Add
With wkBK
.Sheets(1).Cells(1, 1).Resize(pullRNG.Rows.Count, pullRNG.Columns.Count) = pullRNG.Value
.SaveAs PathName & "\" & FileName, xlCSV
.Close
End With