The mouthwatering tie is to be held at the Emirates Stadium, with kick-off at 19:00 GMT.
Details of MUTV coverage will be confirmed in due course but fans are encouraged to attend to support Adam Lawrence's boys, with ticket information from the Gunners to follow.
United knocked Chelsea out of the competition with a 5-1 victory last week, after previously beating Coventry City and Preston North End.
Arsenal have overcome Fulham, Queens Park Rangers and Hertford Town.
The game between two of the best Academies in the country should be an entertaining one - a semi-final clash at the north London venue generated a crowd of 38,137 back in 2007, with that record only beaten recently by our 2022 final win over Nottingham Forest at Old Trafford.