The final match at West Ham's home ground since 1904 was marred by ugly scenes outside the stadium which saw some sections of Hammers fans pelting bottles and other objects at the United team bus as it rolled in.
The packed streets and unruly behaviour forced a 45-minute delay, pushing the kick-off time back to 8:30pm, but Sullivan felt the Red Devils were tardy upon their arrival which would ultimately cost Hammers supporters the chance to stay behind and witness the planned post-game celebration.
"I'm gravely disappointed," Sullivan told Sky Sports regarding the after-match spectacular.
"It's more for our supporters. They have trains and buses. We have a wonderful, wonderful show after the match. Many fans will not be able to stay for that.
"Man United should have got here at 4 p.m. They made the same mistake at Spurs. I'd make them kick off at 7:45 p.m [as scheduled]. The police have been kind to them."
West Ham capped a memorable night inside the Boleyn Ground by coming from behind to win 3-2 thanks to late headers from Michail Antonio and Winston Reid, after Anthony Martial had scored twice for United to give them a 2-1 lead following Diafra Sakho's 10th-minute opener.