The £125m signing was left out of Liverpool's squad by manager Arne Slot for their opening preseason friendly against Preston on the weekend.
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"Yes (he will establish himself)," said Klopp, now the global football director of Red Bull, "although of course I don't know exactly which position Arne has in mind for Florian."
Wirtz can play anywhere across the front three, though he was also utilised by Bayer Leverkusen in a central attacking midfield role.
Klopp has also said of Wirtz: "This is going to be absolutely fantastic, I'm sure of it. It's very hard to strengthen a team when you're champions. But Liverpool have managed it.
"They've signed an exceptional talent in Florian Wirtz. I'm looking forward to seeing it. It's going to be great."