The user cannot delete the account list which the user created from the My Accounts tab. The user has full permissions (Create/Read/Update/Delete) for Account List and Account List item.
Aside from object permission for Account List and Account List item, View object permissions are also required.
Enable Edit privilege to the View object.
CRM Help Documentation: Account Lists and Views
Send us your feedback: We're always looking for advice to help improve our Knowledge Base! Please let us know if this article was helpful or provide feedback on how we can improve your experience here.