A cover letter for bank jobs can be anything between 250 to 400 words and generally consists of 3 main sections. These instructions must be followed exactly.Find out how to capture your skills and flair for customer service all in a few paragraphs with our bank teller cover letter examples. Cover letters are one-page documents consisting of at least three parts. It is your opportunity to introduce yourself and explain why you are the best candidate for the job. Dear Hiring Manager,. I would like to submit my application for the bank branch manager opening. Please accept this letter and the attached resume.