You can request a name change via the Coursera website. Please follow the steps as detailed below:
The name on your course certificate is the full name you have used for your Name or ID Verification during the registration process.
Once you set up your ID verification, you will not be able to change your information. If you are using Name Verification, you can request a name change.
To request a name change:
Log into your Coursera Account
Open your account settings page
Click Request a name change
You cannot change the capitalization of your name. Both ID Verification and Name Verification use only capital letters for your name.