Blues' brilliant Belgian struck twice to help Maurizio Sarri's side reclaim fourth place in the Premier League.
Hazard's goals saw him become a Chelsea centurion by becoming the club's 10th highest goal-scorer, and he hinted there's more to come.
On his goals, Hazard said: "They mean a lot… especially as we won today. One-hundred-and-one goals with this amazing club and something I'll never forget.
"But now we want more. We want to score and I want to score more goals and be a legend like Frank Lampard, John Terry, Didier Drogba."
Hazard has been deployed as a false nine by his new Italian boss, with four goals and two assists in his last four Prem games in the position.
But the 27-year-old believes he could operate from anywhere: "I think I can even play centre back!
"My focus is to score goals, as a winger or striker and I try to do my best.
"We showed great character against Man City. Today we did the same. We needed to respond after Leicester. We did well. When we can fight together we are a top team. We need to do it more."
But Hazard's future at Chelsea has been in constant uncertainty ever since expressing his desire to join another club at the World Cup.
Real Madrid are the forward's biggest suitors and Hazard described the Bernabeu as a "dream" move.
His contract at Stamford Bridge runs until June 2020 with Chelsea and Sarri desperate to enter more negotiations over the coming weeks.
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