Arsenal, who lost the fixture 3-0, find themselves sixth in the Premier League standings, eight points from a Champions League spot next season, and having just been beaten by City in the League Cup final.
"You have to take a perspective, sit back, look at the whole picture and analyse where we were poor and where we were strong, insist on the strong points and get rid of the weak points we showed last night".
Arsene Wenger is once again under severe pressure at Arsenal after another season of disappointment.
Wenger is now on the verge of the sack, which would end an incredible 22-year reign as Arsenal manager.
Another defeat in the upcoming Europa League last 16 tie with AC Milan means Arsenal could end the season empty-handed, with Wenger conceding that would make this campaign worse than previous year and all the calls for him to leave that came along with it.
"I've face hard situations in my life and it helps when you know how to deal with that". I'm always relaxed about speculation but my focus is only on Celtic.
Wenger lost the Carabao Cup final to City on February 25 and then lost the Premier League rematch at the Emirates Stadium on Thursday, renewing calls for a change.
"I love my professional life here - the challenges of managing, the expectations, the scrutiny that comes with Celtic", Rodgers said. Don't worry, I can live with reality.
"What you have to be prepared for when you manage the big clubs is that there will be times when between five and 10 other people will be linked with your job". There may be some squad rotation but, of course, Arsenal aren't blessed with too many options right now.
"Arsene will know that, he's got great experience, he's a really good man".