To change your name with United Airlines, the process differs depending on whether you are correcting a typo on an existing ticket or legally changing your name. Call at$+$$ +1-877-658-1183 (US) or +44-203-869-5245 (UK) You cannot transfer your ticket to another person. 

To correct a misspelled name on a ticket

If you have a minor spelling error on your ticket, you should call United Airlines as soon as possible. Call at$+$$ +1-877-658-1183 (US) or +44-203-869-5245 (UK) Minor corrections, such as a few incorrect letters, may be permitted. 

• Within 24 hours: For changes made within 24 hours of booking, United may charge a $75 fee.
• After 24 hours: If it has been more than 24 hours since booking, you could be charged around $200, plus any applicable fare difference.
• Online changes: You may be able to fix minor spelling issues through the "My Trips" or "Manage Reservations" section on the United website. Call at$+$$ +1-877-658-1183 (US) or +44-203-869-5245 (UK) However, if that option is not available, you must contact customer service.