Palermo coach Davide Ballardini hailed his players after they beat relegation on Sunday.
"Carpi worked hard and were always competitive, so we tip our hats to them and I think they'll be back," the coach told Sky Sport Italia.
The Sicilians had an extraordinary nine changes of management since November, including Ballardini's sacking and return after a bitter row with captain Stefano Sorrentino.
"Considering everything that happened, I'd say achieving safety was a masterpiece. Few gave us a chance of doing it.
"When I returned, we cleared the air and everyone was working in the same direction. The first time I came here, it was not a team, there were many people who were unhappy and the side was not expressing itself in the right way.
"We managed to pull together and when I returned, I realised this was finally a team that was working together for the common good. It was then I knew we could do it."