The song, by Chelsea supporters Madness, is used after wins at Stamford Bridge and was played earlier in the season when Maurizio Sarri's side became the first team to beat City in the Premier League this season.
That established Aguero as City's record league goalscorer, surpassing the 158 goals of Eric Brook and Tommy Johnson, and he later extended his tally to 160 by completing his treble from the spot.
City have now scored 33 goals in their last five home games in all competitions and have a chance of lifting their first silverware of the season when they face Chelsea again at Wembley in the League Cup final on February 24.More news: Winter weather forecasted to strike again Tuesday
Chelsea endured a diabolical away outing at the Etihad Stadium last night as they were handed an embarrassing 6-0 drubbing at the hands of Manchester City.
"It is one of the worst nights in my career", added defender Azpilicueta, 29. "It is hard to explain what happened".
"We are conceding a lot of goals and we can not accept that. All I can do is apologise to the fans because it is not acceptable". "So I am not anxious [about that], you have to ask the club". "But I don't know what to expect; people keep asking me what I think about the situation, but I think that's a question which needs to be put to the club". You'd have to ask the club. Something is changing. I am not able to see the reason but we have to work for this. I said if he felt good he could take it. "For the moment I have to say only sorry".More news: North Carolina Congressman Walter Jones dies after entering hospice care
The preceding week the Italian chose to speak in his mother tongue in the post-match press conference following Chelsea's 2-0 loss at London rivals Arsenal. They have since lost seven out of 21 in all competitions. "He doesn't believe I am good because I win and bad because I lose".
"In the last three or four matches we were without a reaction from the first difficulty so we need to understand".
The Catalan also suffered during his first year in charge, but always retained the faith of the club's director of football and his former Barcelona colleague Txiki Begiristain before leading City to the title with a record 100 points last season.More news: 'Roma,' 'Favourite' win big at BAFTAs
Such was the defensive collapse at the other end, Gonzalo Higuain had little chance to shine but the Argentine striker was unfortunate not to score his third goal in as many league starts for Chelsea when Ederson turned over his dipping volley five minutes before the break.