Sadio Mane scored the winning penalty in the shootout as Senegal beat Egypt to win the Africa Cup of Nations
The African champions open their campaign against Group A opponents the Netherlands on Monday (16:00 GMT).
Bayern Munich forward Mane will miss the tournament due to a knee injury.
"We are not just talking about Senegalese people but people around the world and the whole football family is saddened," said Cisse.
"He represents the African continent as well as Senegal," he added. "I have received phone calls from around the world.
"All coaches build teams around their best player, that is also the case for us. We have a strong team as well, with experienced and young players ready to rise to the challenge."
Netherlands captain Virgil van Dijk said he spoke to his former Liverpool team-mate Mane.
"As a friend I just wanted to know how he was. I feel sad for him. I know how hard he worked for this and he wants to be important for Senegal," he added.
"He has been important in the last few years especially. It is tough. Obviously he will be a big miss for them. Hopefully we can benefit a little bit from that."
Monaco winger Krepin Diatta and Marseille's Bamba Dieng are in line to replace Mane., but RB Leipzig's Abdou Diallo may miss out with a knee issue.
The Dutch are without forward Memphis Depay, who scored 12 goals in World Cup qualifying, with a hamstring injury.
Defender Denzel Dumfries is a doubt, while midfielder Marten de Roon has struggled with a back issue.
-- Courtesy of BBC Sport