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It comes as Bayern Leverkusen chiefs have fired back over a transfer claim.
Wirtz, who was signed from Bayer Leverkusen last month for a staggering $155.5 million, missed the 3-1 win over Preston North End in Arne Slot's side's initial preseason match last weekend.
However, the attacking midfielder - who has already explained why he chose Liverpool over Bayern Munich - played the first half of the game against Stoke, which took place at the AXA Training Centre in Kirkby on Sunday afternoon.
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Darwin Nunez maintained his strong start to preseason by netting a hat-trick within the first 20 minutes, while Rio Ngumoha also scored before half-time as the Reds cruised to a 5-0 triumph over the Potters, with Federico Chiesa rounding off the scoring in the second half.
Nunez opened the scoring six minutes into the game with a quick reaction after Wirtz's attempted pass to Dominik Szobsoszlai was blocked.
The striker then tapped in a Szoboszlai cross from the right for his second goal six minutes later, before completing his hat-trick with a Curtis Jones assist.
Ngumoha added to the tally shortly afterwards with a deflected shot, while Chiesa found the back of the net with two minutes left on the clock, following Cody Gakpo's square pass from a Jeremie Frimpong cross to the far post.
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Ryan Gravenberch, Florian Wirtz and Milos Kerkez of Liverpool during a preseason training session.
New young goalkeeper signing Armin Pecsi took over for the final half-hour, with Kostas Tsimikas at centre-back, Conor Bradley at right-back and Milos Kerkez at left-back.
Ryan Gravenberch and Wataru Endo were the two defensive midfielders, with Gakpo taking a more advanced role
Chiesa, Frimpong and Ben Doak comprised the forward line, with Luca Stephenson replacing Doak for the final 15 minutes.
Liverpool are now set to jet off to the Far East to kick off their preseason tour