I also feel optimistic about De Rossi, although it cannot be a guarantee that As Roma will be even better, but at least there are big and good hopes after De Rossi took over coaching AS Roma in the middle of this season. So I think AS Roma's decision to keep De Rossi is a good decision that they took so that they can now relax a little because they no longer have to worry about bringing in a new coach.
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.
I disagree with you for saying Roma doesn't have any big ambitions since they retain De Rossi as their head coach. There was an improvement when De Rossi took over as Roma's coach, and I think De Rossi can help Roma maintain a good performance when the new season starts. There are few good and experienced coaches in the world right now, and I think this step that Roma management has taken will help to discover young coaches who can perform well as coaches. Nobody believed that Xavi Alonso could win the Bundesliga title and finish the season unbeaten with Bayern Leverkusen. Let's wait and see how De Rossi will perform at Roma when the season begins.