The Belgium forward grabbed both Chelsea goals at Vicarage Road to take his tally for the Blues to 101.
Hazard has made no secret of his desire to play for Real Madrid, but the mercurial 27-year-old wants to ensure he will go down as a great at Stamford Bridge before moving on.
He told Sky Sports: "The goals mean a lot, especially because of the win. Yes, 101 goals with this amazing club is something I will never forget. Now, I think me, the fans, the players, we want more.
"I want to score more goals for the club, and become a legend, like [Frank] Lampard, [John] Terry, [Didier] Drogba. I try to do my best, but when we are winning we can enjoy it a lot."
Hazard was pleased with the character his side showed following a defeat to Leicester City in their previous outing.
"We played really well. When we fight together we are a top team so we need to do it more."