Alexander Isak scored the only goal at St. James' Park in a clash between two much-changed sides.
Manchester United and Chelsea are under pressure to get back on track as the Premier League returns from an international break, while Manchester City aim to maintain their perfect start to the season.
Guardiola said he was "not a god" when asked if he was the greatest of all time after arriving in Japan for City's pre-season tour
"We do have regrets because defeat is the worst thing in sport but I have to congratulate my lads," Inzaghi said after the final was decided by a solitary second-half goal from Rodri
"I think Pep said that you will not be 'big, big' if you don't win in Europe. It's the exam we have to pass again," said the Spanish international
The goal beat the previous record of 25 seconds set by Everton's Louis Saha in the 2009 final against Chelsea
Brentford needed to win and hope that Aston Villa and Tottenham Hotspur dropped points in order to finish seventh, a Europa Conference League qualifying spot
"I congratulate Man City. They are the champions, they deserved to win. I apologise because we have generated that belief that we could do it, but we were unable to and that is my responsibility," said Arteta