The 21-year-old clashed with David Beckham during his side's Coupe de France game against Paris Saint-Germain on Wednesday.
The incident followed Ayew's dismissal against Evian TG last month in which he was booked twice inside two minutes of coming on.
"I know his dad, Abedi [Pele], well," ESPNSoccernet quotes Passi as saying. "I imagine that his father isn't proud of what he's seeing.
"Sometimes, he's a little irritable on the pitch. He was coming back from suspension. He wanted to show what he can do and get things going, and that translates into a little bit of anger.
"He's a young player, but he's going to have to mature quickly so that he can show his qualities as a footballer."
Ayew has been at Marseille since 2006.