YouTube is no longer taking requests for channel verifications due to a new process it recently set in place. YouTube's system will now automatically review channels based on a variety of factors in order to determine eligibility for channel name verification. If your channel qualifies, you will receive a name verification checkmark in the future. We are aware that channels have been verified through network requests in the past, but YouTube's policy has since changed.
A support article from YouTube with more information can be found here.