A bank account can be closed with a simple letter as long as the account in in good standing. Even if a bank does not require it, it is a formal and good way to explain your reason to customer service.
Here is a simple letter you can follow to close your bank account:
Harrod’s Bank Associations,
Lord Road, Nottingham, 68756
Subject: Closure of Current Bank Account
To Whom It May Concern:
I am writing to inform that I will be closing my account at your bank under the name Ms. Jane Dawson, resident of Gloomingdale, Nottingham, 48769, which I have been holding in the branch since May 10th, 2009. The account has been inoperative for several months due to my transfer to another city. I deeply regret my inability to continue banking here. I will return my checkbook and ATM card duly to the bank.
I request for an issued demand draft for my existing balance, and I solicit your kind help through the process. My account number is 2245-09879, and my email address is firstname.lastname@example.org.
17th August, 2014
London Heights, Birmingham, 98690