If you would like to authorize someone to collect a cheque on your behalf, here is a sample template you can use to write a cheque authorization letter.
Subject: Authorization for Cheque Collection
With reference to the cheque issued on (Date) against my bank account (Number), I, (Your Name), authorize (Authorized Name) to collect the cheque on my behalf. Furthermore, (Authorized name) will provide you with all the necessary documents for verification.
I request you to give your consent for the cheque collection.
(Your Name and designation)
(Bank and Branch Name)
(Signature and contact number)