Mbappe, 20, was publicly told by Thomas Tuchel to respect coaching decisions after seemingly ignoring the PSG boss when substituted late in last weekend's Ligue 1 win at Montpellier.
French newspaper L'Equipe then claimed the World Cup winner has at times questioned his importance and treatment in comparison to team-mate Neymar.
The report fuelled speculation Mbappe could seek a move to Real Madrid in future but Zidane, who recently admitted to being "in love" with the talented France forward, tried to avoid driving a wedge between player and coach.
"That would be a lack of respect on my part. You know that I know him very well, but I have to have respect."