Van Persie handed his son a late substitutes' appearance in the 3-1 home loss.
"I made that call as a coach, not as a dad because we needed a goal," said former Arsenal and Manchester United forward Van Persie afterwards.
"Shaqueel is a player who can score a goal from all angles. That was the reason I brought him on.
"From a father's point of view, when your son makes his debut that is always a special moment. But I wasn't that busy with enjoying that moment, I was doing my work like Shaqueel was."
He added, "The way I see Shaqueel is as one of the players.
"This is what we both agreed to a couple of years ago when we already worked together. Shaqueel was handling that really well, I am too in my opinion.
"Later on when we are home of course we will have a nice moment, when we are proud of each other. I am proud of Shaqueel because, like every player who makes his debut, there is a whole process going on before he made his debut. He worked hard, deserved it and, for him, is a special moment."