Both Manchester clubs suffered shock defeats in the Premier League on Saturday.
At Old Trafford, Joachim Andersen’s volley in the first half proved to be the deciding goal as Crystal Palace beat United 1-0.
Roy Hodgson now becomes the first manager to go five matches unbeaten at Old Trafford.
City lost 2-1 at Wolves, bringing an end to their perfect start to the campaign.
Arsenal were the big winners of the day as they hammered Bournemouth 4-0 at the Vitality Stadium.
Bukayo Saka and Martin ODegaard gave the Gunners a 2-0 lead in the first half, before goals from Kai Havertz and Ben White sealed the victory.