Manager Jose Mourinho continues to talk down Chelsea’s chances of silverware in his first campaign back in charge.
But Hazard said: “We’re at Chelsea, in a club where you’re obliged to try and win something every season. We will be involved in the title race right to the wire.
“It will be tough in the Champions League and in the FA Cup, we’re playing at Manchester City, which is going to be difficult.
“No-one is getting carried away because we know there are plenty of big games ahead. We have beaten possibly the best team (City) in the league, but we have to get maximum points from the games coming up.
“It’s going to be a tasty end to the season and we have to wait and see how many trophies we can win.”