Guardiola‘s Manchester City inflicted what Potter admitted was a “tough, painful” 4-0 FA Cup defeat.
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But despite Chelsea‘s fifth loss in seven games, the City chief told Stamford Bridge owner Todd Boehly that his manager “needs time”.
Visiting fans chanted for old manager Thomas Tuchel after a three-goal blitz destroyed their men before half-time.
Riyad Mahrez’s brilliant free-kick, a Julian Alvarez penalty and a neat Phil Foden finish on 38 minutes killed off dismal Chelsea.
Midfielder Mahrez, who hit the only goal in Thursday’s Premier League clash between the same sides, then tucked home a late spot-kick.
Chelsea were booed off at the interval and full-time as City outclassed them – just three days after a much tighter game.
Potter said: “The first half was painful and tough for us all. We were second best to a very, very good side.
“We are not in a great moment and even though it was a cagey first 20 minutes we couldn’t attack the backline well enough.
“Manchester City are very good at stopping you doing that but at the same time we struggled.”
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And of Chelsea’s poor run, he added: “You can make excuses and look for reasons or say it isn’t good enough. Both of those answers are correct.
We have to keep improving and stick together because clearly we are suffering as a football club and it’s not nice at all.”
“You understand the supporters’ frustration, we respect that,” he said.
“There are always other opinions and negativity and criticism because the results haven’t been positive. That’s part of the job and part of the challenge.”
Englishhman Potter believes Chelsea should be patient in the same way City were with Guardiola in his first season at City.
And the Spaniard agrees.
Guardioal said: “I would say to Todd Boehly, ‘Give him time’. I know in the big clubs the results are important but I would say give him time.
“What he has done in Brighton was outstanding, but all managers need time. We needed time in my first season.”