Format date in MySQL SELECT as ISO 8601

I'm trying to grab the date from my database in a standard timestamp and display it as ISO 8601. I'm unable to easily do it in PHP so I'm trying to do it in my SELECT statement. This is what I have, but it displays an error:

SELECT * FROM table_name ORDER BY id DESC DATE_FORMAT(date,"%Y-%m-%dT%TZ")

What am I doing wrong?

The DATE_FORMAT(DateColumn) has to be in the SELECT list:

SELECT DATE_FORMAT(date, '%Y-%m-%dT%TZ') AS date_formatted
FROM table_name 
ORDER BY id DESC 

This worked for me

DATE_FORMAT( CONVERT_TZ(`timestamp`, @@session.time_zone, '+00:00')  ,'%Y-%m-%dT%TZ')