The Blues are in a tricky situation, as they lost Hazard in the same summer they received a transfer ban.
And Lampard acknowledges the gargantuan task of replacing Hazard.
"Over his time at Chelsea, he was generally the most productive player in terms of assists and goals — and he was a leader.
"You cannot replace him individually, it's virtually impossible because of the high level he is at.
"But the good and positive news for us is that we have a group of players, some younger and some experienced players, who now have the opportunity to show collectively and individually they can step up, because we are missing a huge number of assists and goals.
"As a team, we have to find a way to carry on, because a football club like Chelsea will always carry on.
"Then it's down to the next players and the next manager to say good luck to Hazard but carry on as Chelsea."