Developing a web application which should allow User to schedule appointment based on their TimeZone. And I am storing the User scheduled datetime as server datetime into database field. While showing schedule information retrieved the value from Database and converted into user timzone. processing in Code base I am converting the DateTime based on the user timezone. Please suggest is this best practice or any easy way is exist?
Welcome to one of the hardest problems in non-computational programming - properly representing dates and times to end users.
Realistically, timestamps should be stored in a fixed single representation regardless of how they will be interpreted, because no matter how hard you try, you will always have ambiguous cases, and you can't resolve them without a fixed representation. And you've picked one of the worst of the use cases - scheduling an appointment. The only worse common use case is air travel, where a trip might start in one time zone and end in another, possible at an earlier local time.
Always, always, ALWAYS store in UTC and display in the user's preferred or explicitly specified timezone. If at all possible, make the user tell you what timezone they believe the timestamp to be in when they input it (e.g., have an explicit timezone field and pre-populate it with their preferred zone).
The easiest way to deal with date/time information depends on the requirements of your application.
If the date and time are entered by the user and the server does no processing with that date/time information except to store it in a database and there is no expectation that the entered time gets adapted to the location where it is viewed (for example, the user entered "8:00 PM" and it should be displayed as "8:00 PM" regardless of where on the world it is viewed), then the easiest way is to store the DateTime as local time without any timezone information.
On the other hand, if the server must use the entered DateTime as a trigger to do something, or if the time should be correctly adjusted to the current timezone, then your best option is to store the DateTime as UTC time and adjust it to local time (for the user's current location) each time you read it from the database.
It is important that you do not conflate two related concepts.
If you are manipulating an actual point in time, that is a specific time on a specific day, then the only way to do this is to always use the universal UTC time value. Never attempt to store this as a timezone-relevant value. When displaying this time value to a user, always convert to the user time zone at that time. (And don't forget both the time and the date depend upon time zone.)
The other concept is that of a "time expression" such as "8:00PM every Tuesday". You specifically mentioned allowing people to schedule appointments, and if you have recurring appointments, you need an expression like that. I don't know of any standard expression language, but whatever you use, it will be relative to the time zone of the person who specified it. It would be best to make this explicit e.g. "8:00PM every Tuesday in Pacific Time Zone". In the case of a time expression, you store this always as a string, and never involve any system time formats.
Many answers here indicate storing as UTC. But be really careful with this. For instance, if you schedule an appointment at 12:00 but the appointment takes place after the change to daylight saving time, what will happen? UTC does not keep any information on whether dst was active when the appointment was stored. A lot of big, famous systems have made this error, where a user sends an email at 9am in the summer, and then in the winter the sent time shows 8am, because the calculation back from UTC depends on when you look at the datetime, not on when the datetime was recorded.
Much better is to assume your user wants to have the times he picked always. No UTC conversion, no time conversion, no timezone info, nothing. Making an appointment from 08:00 to 12:00 on the 21st of March 2016 is just that. Don't use either local time or UTC time, but unspecified time (in json this has neither z nor +, basically, in .NET this has DateTime.Kind = DateTimeKind.Unspecified).
Of course, if your use case is that you are a company that holds meetings with someone from different timezones and you want to see this information in, say, a company calendar, but allow users to see what time that is in their timezone, it gets more complicated. The time has to be correct for different people in different timezones (the supplier and the customer).
In those cases, you may even want to record when the appointment was saved to the database, in what timezone and if that included dst or not. That way, you can always calculate back the local time to anything else, either to what it would be now or to what it was intended to be historically. Because timezones are very much not static, making things even more complicated.
Fortunately, this is where libraries like http://nodatime.org/ come in and are highly recommended. They work with dates much more consistently. Even then I would recommend wrapping all your datetime variables and logic in your own wrappers, using interfaces so they can be mocked, and then you can still switch logic later.