Karius posted a message on Instagram at the weekend, shedding light on the "anger and hate" directed at him following his error-strewn performance in the Champions League final defeat against Real Madrid in May.
Ozil called time on his international career with Germany this week, citing similar negativity and hostility following the publication of a photograph of him standing alongside Turkish president Recep Erdogan.
And Klopp, speaking exclusively to ESPN FC at the team's New Jersey hotel ahead of Wednesday's game against Juventus, said he simply cannot understand the online abuse which public figures now experience.
"Look, I think my smartest decision in life was not to use social media," Klopp said. "I don't read it if people criticize me on social media. They can write whatever they want and it never would faze me because I don't know it. I don't read it, so I don't feel it.
"I never really thought it right if you listen to people, they don't show you their face -- if you want to tell me you're not happy with me, tell me now, but don't go out and write it on your smartphone and put it on Facebook, Instagram, whatever.
"That's the crazy part of the world, obviously, but we all are not really bothered about it as long as we are not involved.
"We accept it like that's how the world is now, but the moment when you're in the middle of the storm, then you will think, 'Wow, that's really different to how it was in the good old times.'
"Obviously, in their rooms when they write, they don't care about the person. Not only Loris -- [they care] about nobody. They don't care. It's like they have a lot of power in that moment and they use it, but power is two things. When one has power, the other one who feeds it and so I really would say it's a good idea in life to really don't get in these things.
"I'm not sure that it will happen, but maybe one time, we can start talking again and don't write messages to each other."
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