Considering the level of improvement that AS Roma have recorded in the short period that Daniele De Rossi have managed the club's first team, I think it'll be disrespectful for anyone to completely write them off from from the list if teams that are very capable of winning the Italian Serie A next season. Roma without doubt aren't in the top three favorites teams to win the league come next season and that's because their number of quality and world class players aren't as much as the other few teams ahead of them but I think they have the team spirit and mentality of doing the unthinkable.
AS Roma under Daniele De Rossi is a work in progress and I strongly believe that they'll definitely win the Italian Serie A title in few seasons from now.
To be honest, I doubt a little that AS Roma has a chance of winning Serie A next season or even for the next few seasons. Statistics show that they have never entered the Champions League based on their position in the standings. The last time they were in the top 4 was in the 2017/2018 season. That was about 7 years ago. De Rossi has made a significant improvement over AS Roma's performance this season but for me personally this is still not worthy enough to include them in the list of favorites to win. I am not underestimating AS Roma but based on facts and data I think Juventus, AC Milan and Inter Milan are still my top 3 favorites in Serie A. But I am still waiting to see AS Roma's performance next season to see if De Rossi has really changed AS Roma is getting better or not.