Rosicky says Emery is experienced enough to successfully lead Arsenal into a new era.
Speaking to the London Evening Standard, Rosicky said: "There are some positives, some negatives. We have to get used to it and we would all like to see the team grow.
"The team is scoring goals, even in difficult games like Chelsea away, which is important. There are a lot of positives obviously, a lot of negatives as well because the team is conceding.
"But Unai Emery is very experienced and was successful everywhere he has been. I trust him and I hope he will do well and we will see the team grow and develop."