The 41-year-old is currently getting used to his new role as Chelsea FC boss after he was appointed as the club’s new manager last week.
Lampard has signed a three-year deal with the Blues to take over at Stamford Bridge after he was brought in to replace Maurizio Sarri, who left to join Juventus last month.
Hudson-Odoi’s future has been a source of speculation at Stamford Bridge in recent months because his current contract at the club is due to expire at the end of next season.
Now, Lampard has opened up about Hudson-Odoi, 18, and explained why he sees such a bright future for the teenager.
Speaking in an interview with Chelsea FC’s website, Lampard said: “I have seen Callum come through and he is a fantastic talent. We all know that and I will speak to him and I want him to stay.
“I know the club want him to stay and for me, he is going to be central for us on the pitch and that is the opportunity that is really in front of him now, certainly from where I am sitting. So that is something I will speak to him about and I hope he stays.
“When I say he is going to be central to it, there are things as a young player that he will want to improve and there are things through natural development that will improve, so I am not going to say things that are pie in the sky but with his talent, he can be central to this team, he can be central to England, so I am going to say I want to work with him, I want to drive him forward and I want to improve him as a player.
“He can show, right here at Chelsea, the team he came through the Academy at, that he is going to be a world-class player because I truly believe that.”
Hudson-Odoi is currently sidelined after having suffered an Achilles injury towards the end of last season.
It remains to be seen whether the youngster will end up staying at Stamford Bridge and signing a new deal following Lampard’s appointment at the west London club.
Chelsea FC finished in third place and won the Europa League title under Maurizio Sarri last season.
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