The coach they have currently is skillful, they may technically be lacking a little bit of player quality but I believe they can make do with what they have. Recent game outcomes haven't been so terrible or bad for them. They're staying in shape and hopefully with time and weeks going by, they'll be able to stay back at their deserved top spots. The season has a couple of games left for Roma to show it's ability. They will try to be relevant in both the Serie A and Europa League too.
The obstacle faced by the coach is of course the lack of good player options in the squad and that is perhaps what makes Mourinho unable to survive and makes it very difficult to win for Roma. But since being handled by De Rossi, currently Roma is actually looking better and maybe this is still too far from being good, but at least the negative trend can be cut.
Maintaining the team's performance will be much more difficult for De Rossi and they cannot afford to lose good moments like now by experiencing bad things. We don't know for sure what will happen in the future and I hope the club management can provide funds for spending next summer so that next season they won't be left behind again. Roma's next match will be against Cagliari and of course with De Rossi's new strategy, Roma will still be able to win whatever the conditions.