I'm sure he will do his best for Rome, but it must be said that he does not have enough experience. Coaching is a difficult profession. The responsibility of the players is on them and you will try to use a player in the best possible way. De Rossi must work hard if he wants to be better than Mourinho. Mourinho is a coach who has won every European cup in his career. When it comes to its place, you expect errors to be fewer.
I will appreciate De Rossi for starting his first match with a win, but still am not convinced because must of the matches Mourinho lose are all top seven in the table, while De Rossi started with a club that is in relegation zone, everybody will be shocked if De Rossi loses that match. Mourinho is a great manager but I just don't know what happened to him for not rescue Roma. De Rossi really have alot to do now, I know he can't make it to Champions league zone because teams that are there are ready to play any team that will stop then from qualifying to Champions league, but he should make sure he make it to the Europa, that will make the management have more confidence in him.
De Rossi and his players will also have efforts to reach the Champions League. Mourinho was a top coach but some things may not have gone well. Daniele De Rossi should analyze the remaining matches well and make the opposing teams play every match as if it were a final. Players should go into every match aware of this. If so, maybe they can get close to the Champions League region.