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De Rossi himself must be able to answer the trust placed in him by management, he must prove that he is capable of bringing As Roma to play well, at least they must finish in the Champions League zone next season. If he is able to do that, then that is a great achievement for him. It will indeed be difficult for As Roma to be in the Champions League zone, but if they are willing to work hard then anything can happen.
Roma doesn't have any big ambitions at all, that's why management decided to keep De Rossi. Statistically, Roma's current performance is no better than during Jose Mourinho's time, so there is nothing extraordinary that De Rossi can do. I am pessimistic about the team from the Italian capital, they will stumble again and find it difficult to reach the top five positions. For next season, the competition will be much more difficult because several other big teams have also started to move towards real changes. Juventus, Milan and Napoli will again be strong teams and challengers for the Scudetto.
Last season, of the 38 matches that Roma played, they only lost 11 times, this is quite a good achievement, next season will start soon but Roma still cannot convince their fans that they will be able to finish in the top 5. De Rossi is a pretty stable coach but with the capacity of players that Roma currently has, I doubt that Roma will be able to compete with other top Serie A teams, there are rumors that Roma is eyeing Hummels. I don't think he is a good enough player for Roma.