The defender joins the Poles on-loan for the season.
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Now 22, Wilson-Esbrand made his debut for City in in a 6-1 Carabao Cup win over Wycombe Wanderers in September 2021.
Wilson-Esbrand has a deal with City to 2027 and is an England U21 international.
Radomiak currently sit eighth on the PKO BP Ekstraklasa table.