The Blues also face a trophyless season after being knocked out of the FA Cup third round, having also gone out of the Carabao Cup to City.
Guardiola set up a match against either Arsenal or Oxford United in the fourth-round of the competition and later backed his counterpart.
"Yes, he is right," Guardiola said about Potter’s last press conference asking for time to turn around his side’s bad run. "I would say to Todd Boehly, it was a pleasure to meet him, but give him time. I know results are important in big clubs but I would say give him time.
"I think the second half today is what he is and what he did in Brighton was outstanding. All the managers need time and he was right. We need time in the first season.
"I had results in Barcelona in the first season but we had Lionel Messi so one season was enough. But yes, everyone is an idiot [in football management]. To play against Man City at the level we are at in the Carabao Cup or FA Cup is not easy. Not for Graham, Chelsea or any team."