Importing text file into excel sheet

There are many ways you can import Text file to the current sheet. Here are three (including the method that you are using above)

1. Using a QueryTable
2. Open the text file in memory and then write to the current sheet and finally applying Text To Columns if required.
3. If you want to use the method that you are currently using then after you open the text file in a new workbook, simply copy it over to the current sheet using Cells.Copy

Using a QueryTable

Here is a simple macro that I recorded. Please amend it to suit your needs.

Sub Sample()
    With ActiveSheet.QueryTables.Add(Connection:= _
        "TEXT;C:\Sample.txt", Destination:=Range("$A$1") _
        )
        .Name = "Sample"
        .FieldNames = True
        .RowNumbers = False
        .FillAdjacentFormulas = False
        .PreserveFormatting = True
        .RefreshOnFileOpen = False
        .RefreshStyle = xlInsertDeleteCells
        .SavePassword = False
        .SaveData = True
        .AdjustColumnWidth = True
        .RefreshPeriod = 0
        .TextFilePromptOnRefresh = False
        .TextFilePlatform = 437
        .TextFileStartRow = 1
        .TextFileParseType = xlDelimited
        .TextFileTextQualifier = xlTextQualifierDoubleQuote
        .TextFileConsecutiveDelimiter = False
        .TextFileTabDelimiter = True
        .TextFileSemicolonDelimiter = False
        .TextFileCommaDelimiter = True
        .TextFileSpaceDelimiter = False
        .TextFileColumnDataTypes = Array(1, 1, 1, 1, 1, 1)
        .TextFileTrailingMinusNumbers = True
        .Refresh BackgroundQuery:=False
    End With
End Sub

Open the text file in memory

Sub Sample()
    Dim MyData As String, strData() As String

    Open "C:\Sample.txt" For Binary As #1
    MyData = Space$(LOF(1))
    Get #1, , MyData
    Close #1
    strData() = Split(MyData, vbCrLf)
End Sub

Once you have the data in the array you can export it to the current sheet.

Using the method that you are already using

Sub Sample()
    Dim wbI As Workbook, wbO As Workbook
    Dim wsI As Worksheet

    Set wbI = ThisWorkbook
    Set wsI = wbI.Sheets("Sheet1") '<~~ Sheet where you want to import

    Set wbO = Workbooks.Open("C:\Sample.txt")

    wbO.Sheets(1).Cells.Copy wsI.Cells

    wbO.Close SaveChanges:=False
End Sub

FOLLOWUP

You can use the Application.GetOpenFilename to choose the relevant file. For example...

Sub Sample()
    Dim Ret

    Ret = Application.GetOpenFilename("Prn Files (*.prn), *.prn")

    If Ret <> False Then
        With ActiveSheet.QueryTables.Add(Connection:= _
        "TEXT;" & Ret, Destination:=Range("$A$1"))

            '~~> Rest of the code

        End With
    End If
End Sub

you can write .WorkbookConnection.Delete after .Refresh BackgroundQuery:=False this will delete text file external connection.