If the user knows the table name then test:
Static TName As String
TName = InputBox("Enter table name", "Access Table name", TName)
Application.DisplayAlerts = False
With ActiveSheet.ListObjects.Add(SourceType:=0, Source:=Array("OLEDB;Provider=Microsoft.ACE.OLEDB.12.0;Password="""";User ID=Admin;Data Source=\\Prdhilfs03\l&i-sales&mkt\WORKAREA\Agencyservices\Accou", "nting\AGY\Databases\DatabaseAudit.mdb;Mode=Share Deny Write;Extended Properties="""";Jet OLEDB:System database="""";Jet OLEDB:", "Registry Path="""";Jet OLEDB: Database Password="""";Jet OLEDB:Engine Type=5;Jet OLEDB: Database Locking Mode=0;Jet OLEDB:Global Parti", "al Bulk Ops=2;Jet OLEDB:Global Bulk Transactions=1;Jet OLEDB:New Database Password="""";Jet OLEDB:Create System Database=False;Jet", " OLEDB:Encrypt Database=False;Jet OLEDB: Don't Copy Locale on Compact=False;Jet OLEDB:Compact Without Replica Repair=False;Jet OL", "EDB:SFP=False;Jet OLEDB:Support Complex Data=False;Jet OLEDB:Bypass UserInfo Validation=False"), Destination:=Range("$A$1")).QueryTable
.CommandType = xlCmdTable
.CommandText = TName
.RowNumbers = False
.FillAdjacentFormulas = False
.PreserveFormatting = False
.RefreshOnFileOpen = False
.BackgroundQuery = True
.RefreshStyle = xlInsertDeleteCells
.SavePassword = False
.SaveData = True
.AdjustColumnWidth = True
.RefreshPeriod = 0
.PreserveColumnInfo = True
.SourceDataFile = "\\Prdhilfs03\l&i-sales&mkt\WORKAREA\services\Accounting\AGY\Databases\DatabaseAudit.mdb"
.ListObject.DisplayName = "Table_DatabaseAudit"
.Refresh BackgroundQuery:=False
End With
Application.DisplayAlerts = True
Additional/Changed code in red:
Static TName As String 'conventionally placed at top of sub.
TName = InputBox("Enter table name", "Access Table name", TName)
<snip>
.CommandType = xlCmdTable
.CommandText = TName
.RowNumbers = False
<snip>
If however, the user doesn't know what the table name might be, do you?
ps. Quite surprised by brevity of that .CommandText line, although .CommandType = xlCmdTable tends to explain it!