The friendly internationals scheduled just days before the start of the Premier League season have taken criticism from club managers and this news has not helped matters.
"There was a question about him starting because he has a problem with his knee and maybe he should not have played," Eurosport quotes Susic as saying.
"However I left it for him to decide whether he wanted to. There was a problem with his knee. We spoke and I said it was up to him."
Dzeko has scored 16 goals in 45 league appearances for City.