I agree with you, gasperini is an experienced coach and can take Roma to the top, but the question that comes to mind is, how long will it take and above all, will Roma have the patience to wait? You can't expect good work in a short time. Better thing need time
For the results, there is nothing instant in any team because every coach always needs time to get it and it is even possible that they will not immediately get good results in their first season in a new team. So for Roma's management, there also needs to be patience in waiting for the best results through their new coach, but if next season Roma can be in a better position than last season, it should also be considered a good achievement because Gasperini also has to polish every player to be better in the next season.
But I doubt AS Roma will have the patience if it turns out that in the coming season AS Roma experiences a decline in performance. Because the same thing happened last season. But actually Gasperini can be expected. Because he has also succeeded in bringing Atalanta to quite good results in the last few seasons. Atalanta even won the European League with Gasperini. So the same thing might also happen at AS Roma. Moreover, AS Roma will also join the European League in the coming season. And Gasperini with his experience there will probably help AS Roma fight very well there.
The problem is that Ranieri has brought AS Roma to extraordinary improvements. So pressure or high expectations will also come to the new coach. So the pressure will really be felt on the mind of the new AS Roma coach. Because there will be people comparing him with Ranieri.