The 18-year-old was an unused substitute in Wales' defeat to Denmark in the UEFA Nations League and will also not play a part in Tuesday's friendly.
Ampadu will return to Chelsea, while fellow Welsh defenders James Chester and Paul Dummett have also withdrawn after suffering injuries against Denmark.
The centre-half has six senior international caps and made seven appearances for the 'Blues' last season, though is yet to feature under new boss Maurizio Sarri.
Manchester City academy prospect Rabbi Matondo has been called-up to the Welsh squad.