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 success in the initial match against Verona is by no means enough to be able to guarantee a good result for the next matches, because after all De Rossi is still relatively new in his coaching career. Therefore, it will certainly not be easy for De Rossi to improve AS Roma's position in the Serie A table. What's more, there is still a schedule for AS Roma to play in the Europa League, of course, it will be a difficult job for De Rossi to provide good performance for AS Roma in every match later. Because yes, not many team legends succeed when they become head coaches and therefore, I think recruiting De Rossi as head coach is at least a gamble for AS Roma because about De Rossi still lack of experience.