Wirtz left Bayer earlier this summer for Liverpool, despite a rival offer from Bayern.
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Carro told BILD: "Bayern were apparently convinced that Florian would choose them. I told them: 'We have other information'.
"Let me put it this way: This isn't really appropriate. I was more surprised than bothered that they were so aggressive in public. But I don't think it helped Florian and his parents.
"When Florian and his parents told us it would be Liverpool, we weren't sad under the circumstances.
"It's no secret that we preferred a transfer abroad."
