The Belgium international joined the Blues from Lille after a protracted transfer saga and has impressed the England man, as well as fellow new recruit Marko Marin.
"My first impressions of Hazard are very good," he enthused to the club's official website.
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"There are signs he can be a big player in Chelsea history if he wants to be.
"Marin is very enjoyable to play with. I have only played with him once or twice and he picks up great positions on the pitch and is very sharp. He is the kind of creative player we want at Chelsea to excite the fans."
Of the club’s most recent signing, Lampard added: "All the reports I have heard of Oscar are very good too and hopefully he can come and adapt to the English game very quickly.
"We have a few midfielders now who can play in areas where we can hurt the other teams, we have Juan Mata to come back as well [from the Olympics], so the future looks good for us."
The 34-year-old's place in the first team is the subject of speculation as the Blues' midfield continues to be heavily bolstered by young talent, but the vice-captain is not too concerned.
"Every year it gets harder because every year we bring in players, but I remember being 25 and we brought in four or five midfielders one summer. I wondered if I would be in the team and I played about 60 games," Lampard noted.
"I have had a great career here and I wouldn't want the club to stand still. The club need to move forward and bringing in quality midfield players is brilliant."