The retired defender insisted the forward should not be blamed for the club's recent struggles and urged incoming manager Jose Mourinho to build his system around the French star.
Speaking to FootballTransfers on behalf of MrRaffle.com, the 1998 World Cup winner argued that elite attackers require tactical freedom rather than demanding defensive responsibilities.
"Mbappe has never really been a problem for a coach," Desailly said.
"Mourinho will tell you the same thing: ‘I'm happy about my 40 or 42 goals a year from Mbappé, I just have to adapt around him.’ He's the striker."
Desailly brushed aside concerns over players' off-field activities, insisting they should not be subjected to constant monitoring.
“Everybody can comment on what happens with his private life or his need to move around,” he added.
“Surely there are Madrid supporters who think a player should not have a private life and should just be dedicated entirely to the club.
“There is always this perception. I felt it also when I was playing football - where, in a certain way, you belong to the fans.
“That is correct and we are happy for it, but let's not exaggerate. I do what I want in my free moments. Don't come and ask me about it. So I don't see him as a problem for Mourinho. It's just an adjustment.”