Aguero could be out for two months.
"This is very bad for the team because Sergio has had an amazing season, scoring a lot of goals, and he is an important player for us," Dzeko said.
"Now we have to play games without him, and try to win - there are a lot of players who want to play."
The Bosnian added: "I am a striker that has scored goals all my life, and I love to do it. When I get a chance I'm trying always to score goals."