Ballack says Wirtz is ready for such a transfer.
The former Germany and Bayer star said: "When it comes to football, Wirtz can definitely play for Real Madrid.
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"It can also be seen in Jude Bellingham after his change from BVB to there: When you play with even better players, you get even better."
Wirtz will start for Bayer tonight in the Europa League final against Atalanta.