Huth wants to "shake" the £71 million signing due to what he perceives as poor body language.
The 21-year-old has massively struggled at Chelsea since his summer switch from Bayer Leverkusen, failing to make an impact for Frank Lampard whose job is on the line after a terrible run of form.
And Havertz's fellow countryman is the latest figure to criticise the star attacker while questioning Chelsea's leadership.
He told Stadium Astro: "It's all well and good saying he needs to be the main guy but he's at a big club and he needs to make that happen himself. Now is the time to shine.
"I just don't like his body language at all, he looks a bit lightweight. It's his first year, but he looks like he's not bothered at times.
"He loses the ball, gives it away and doesn't work back. It is a difficult time to come in with no fans, but you just want to shake him."
The ex-Leicester City man continued by recalling how his title-winning side helped to improve Riyad Mahrez.
"We used to have [Riyad] Mahrez in our changing room [at Leicester] who got a lot better," he added.
"But the team took care of him by saying 'you can't just do one side of it or 10 minutes of the game.'
"Maybe Chelsea lack that internal leader or leaders where that conversation happens. It's not always a nice conversation to have when you're not performing well, but it needs to happen.
"He needs someone to tell him what it takes to play in the Premier League. Maybe the whole changing room is a little bit too nice."
Havertz has found the back of the net on just one occasion in his 16 league appearances for the Blues.
And his team are currently in a spot of bother as they languish in ninth-place, five points adrift of Liverpool who occupy the last Champions League position.
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