The 33-year-old is struggling with a recurring Achilles tendon injury.
Karhan will be out of action for three weeks.
“There’s a little tear which means I can’t take part in the tournament,” said Karhan.
“I have a three-week break ahead of me and the World Cup begins in two weeks. So my withdrawal is final.”
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.