Kobe, winners of the Japanese title in 2023 and 2024, have never won the Asian title and take on the Qatari club that eliminated four-time champions Al Hilal from Saudi Arabia in a penalty shootout on Monday.
"This will be a very strong opponent, Al Sadd, as we have seen two days before," said Skibbe, who is in his first season as Kobe coach after four years with Sanfrecce Hiroshima.
"I think this will be a very interesting match for us.
"From eastern Asia it is not so easy to find very competitive teams because around us there's the Japanese league, the Korean league and sometimes the teams from China.
"But in between there's a far distance from the western part of Asia, and so we are very happy, after a long journey, to be here to show what a nice match we can have tomorrow."
Kobe and Al-Sadd are among eight teams left in Jeddah in the centralised finals series of the competition, where the quarter-finals, semi-finals and final will all be played in the port city on Saudi Arabia's Red Sea coast.
Focusing on recovery
Skibbe is hopeful of fielding his strongest side, which would include former Japan international strikers Yuya Osako and Yoshinori Muto, while Mancini is focused on ensuring his players recover from the rigours of their win over Al Hilal.
Al-Sadd fought back to equalise three times during regulation time in the last-16 meeting on Monday before winning 4-2 on penalties to eliminate the Simone Inzaghi-coached outfit.
"We hope to recover very well from the last game," said Mancini. "It was very, very hard. We played 120 minutes. It's not easy, but we hope to recover very well. I think it will be a very good game, we're playing a good team with good players."
Saudi Arabian clubs had been expected to dominate the competition following the recent influx of highly paid foreign talent from Europe's leading leagues, but Al-Sadd saw off an Al Hilal side featuring the likes of Karim Benzema and Ruben Neves.
Defending champions Al Ahli are one of two Saudi clubs left in the competition, and they will face Malaysia's Johor Darul Ta'zim on Friday, when fellow Jeddah-based side Al Ittihad take on Machida Zelvia, the second remaining Japanese team.
Shabab Al-Ahli from the United Arab Emirates will play Thailand's Buriram United in the fourth and final quarter-final on Saturday, with the semi-finals to be held on Monday and Tuesday. The final will be played on April 25th.