Prior to the contest at Stamford Bridge, Pochettino had described the fixture as a must-win if Chelsea want to retain genuine hope of qualifying for Europe next season.
Goals from Conor Gallagher and Cole Palmer put the Blues two goals to the good inside 20 minutes before a mistake from Moises Caicedo enabled Alejandro Garnacho to halve the deficit.
United were soon level through a well-made Bruno Fernandes goal, and the comeback was complete in the second half after Garnacho headed his side in front, helped by an outrageous pass from Antony.
Although United reached the eighth and final minute of added-on time with a lead, they somehow lost the game, Palmer initially equalising from the spot after Diogo Dalot had hauled down Noni Madueke inside the penalty area.
With 100 minutes and 39 seconds on the clock, Palmer completed his hat-trick, seeing a deflected shot from the edge of the area deceive Andre Onana and find the back of the net.
The game concluded with a total of 47 shots on goal, the second most in the last nine Premier League seasons and four fewer than the 51 from Chelsea's game with Burnley on Saturday.
Despite United having nine fewer attempts than their hosts, Erik ten Hag has insisted that the visitors would have been justified winners.
What did Pochettino say?Pochettino disagreed with the opinion of his opposite number, telling reporters: «It was amazing because we deserved it. We were the better team and it was fair to score in the last minute.
»We started the game really well and the game
Read on sportsmole.co.uk