Lampard backed Chelsea "as a club" to show resilience and respond to the humiliating defeat, their worst in the league for nearly 28 years.
While the Portuguese ultimately failed at Manchester United, things haven't exactly improved much at Chelsea.
Manchester City's Raheem Sterling netted twice against Chelsea.
Here is a snapshot of the damning numbers from a dark day for Chelsea. With all top teams the important thing is you come back strong, no matter what type of defeat. "It is what makes top teams, resilience, and Chelsea as a club will have it".
The prolific Argentinian joined Alan Shearer on 11 Premier League trebles as the champions returned to their ruthless best in a one-sided encounter at the Etihad Stadium.
They also face United in the fifth round of the FA Cup next Monday, have the onerous task of taking on City again in the League Cup final on February 24 and face Malmo in the last 32 when the Europa League returns this week.
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13 - Only embattled Fulham have given up more Premier League goals in 2019 (15) than Chelsea's 13. The city official later apologised to their Chelsea counterpart in hope of avoiding frosty relations. There remains the potential for the much maligned Jorginho to sit out that tie, with Mateo Kovacic having been employed in his midfield brief at times during recent games, but a full-strength squad is still expected to travel to Malmö.
When we won (2-0 against City on December 8) at Stamford Bridge it was because we played well and were together.
"When you lose 6-0 everyone has to accept they didn't play well".
"It's close to being finalised but not quite done, so I don't want to jump the gun", said Lampard.
Chelsea's last three away games have all ended in Premier League defeat with 12 goals conceded in total and not a single one scored. The only relief during that period was a 5-0 victory over bottom side Huddersfield, at home. Aguero completed his hat-trick from the penalty spot after the break and Sterling finished the rout late on.
It could even have been worse for Chelsea as Aguero missed an early sitter and also hit the bar.
"It is hard to explain what happened. We did it, it's an incredible compliment to the players, they are outstanding", added the Spaniard.