I understand the importance of the business name appearing on your monthly QuickBooks Checking statements, @martinm-jubileeh. I want to share some information with you and refer you to the best support available who can assist you further.
The ability to change the name on the statement is presently unavailable in QuickBooks. I suggest contacting your bank (Green Dot Bank) directly to see if they have any alternatives for altering the design of your statement. Or you can call the phone number listed on the back of your debit card.
Here's a helpful reference you can browse: Learn more about QuickBooks Checking. This includes further details about QuickBooks Checking. You can also check Green Dot Bank's address information from there.
You can always reply to this thread if you have other concerns regarding this or QuickBooks in general. We're here to back you up. Take the best care!