Here is the solution you are looking for:
const string dateString = "2012-11-20T00:00:00Z";
TimeZoneInfo timezone = TimeZoneInfo.FindSystemTimeZoneById("W. Europe Standard Time"); //this timezone has an offset of +01:00:00 on this date
DateTimeOffset utc = DateTimeOffset.Parse(dateString);
DateTimeOffset result = TimeZoneInfo.ConvertTime(utc, timezone);
Assert.AreEqual(result.Offset, new TimeSpan(1, 0, 0)); //the correct utc offset, in this case +01:00:00
Assert.AreEqual(result.UtcDateTime, new DateTime(2012, 11, 20, 0, 0, 0)); //equals the original date
Assert.AreEqual(result.DateTime, new DateTime(2012, 11, 20, 1, 0, 0));
Note that you were incorrectly testing the .LocalDateTime
property – which is always going to convert the result to the local time zone of the computer. You simply need the .DateTime
property instead.