How do I remove the "folder icon" to the left of my notes folder titles?

Thanks for getting back to us, Foxi0111.

Currently, there isn't a way to remove the icon from the Folders section: Use Notes on your iPhone, iPad, and iPod touch If this is something you'd like to see in iOS, use this link to submit feedback: Product Feedback - Apple

Cheers!

Hello, Foxi0111.

Thank you for using Apple Support Communities.

When you get a chance, check out this article which shows the steps to delete folders in Notes: Search and organize your notes in folders on iPhone

"Create, rename, move, or delete a folder or subfolder

In the folders list, do any of the following:

• Create a folder: Tap , choose an account (if you have more than one), tap New Folder, then enter a name.
• Create a subfolder: Touch and hold a folder, then drag it onto another folder.
• Rename a folder: Touch and hold a folder, tap Rename, then enter a new name.
• Move a folder: Swipe left on the folder, tap , then choose a new location. Or touch and hold the folder, then drag it to a new location. The folder becomes a subfolder if you drag it onto another folder.
• Delete a folder: Swipe left on the folder, then tap . Or touch and hold the folder, then tap Delete.
• If you change your mind, open the Recently Deleted folder to recover the notes."

Best regards.