Van Persie, the former Arsenal and Manchester United star, is now coaching Feyenoord's Under-18s team and the Under-19s team.
And while taking charge of the latter side in the Youth League, Van Persie handed his son Shaqueel his debut in the competition as a 56th-minute substitute against Atletico Madrid.
Van Persie junior could not help his father's team avoid defeat, however, with Iker Luque scoring the only goal of the game in the 81st minute.
Shaqueel the real deal?
Shaqueel van Persie made his European debut five years and 104 days after his father last played in a European match for Feyenoord, where he finished his career.
The 17-year-old, who was born during Van Persie's stint at Arsenal, began his youth career with Manchester City before moving to Feyenoord in 2017, a year before his father joined the same club.
He has already represented the Netherlands at Under-16 and Under-17 level.
Koeman oversaw an impressive transformation during a two-and-a-half-year stint in charge of the Netherlands, taking the team to the inaugural Nations League finals, while also aiding the development of youngsters such as Frenkie de Jong and Matthijs de Ligt.
However, Koeman left his role when Barcelona came calling in August, leaving the Netherlands in search of a new coach ahead of next year's European Championship.
Van Gaal has coached the Netherlands twice, last leading them to a World Cup semi-final in 2014 before taking up a role as Manchester United boss.
Former Oranje star Van Persie – the Netherlands' record goalscorer – who worked under Van Gaal for both the national team and United, believes the 69-year-old would be an ideal appointment.
"I have never worked with Ronald Koeman myself, so I cannot judge him as a coach," Van Persie wrote in a column in De Telegraaf.
"What I did learn is that he communicated well, had his affairs well organised in terms of discipline, could stand above the group, [like] Louis. A top coach must have a certain fear factor.
"He can squeeze the best out of a group in a short time. To his advantage, it is not a team with a lot of players over thirty, they are mainly younger players. He prefers to work with that.
"I saw at the World Cup in 2014 what he is capable of in eight weeks, let alone if he has almost a year for a European Championship.
"The players just have to realise that it will be super intense with Louis. I speak from experience with him through two seasons with the Netherlands and immediately afterwards a year as a club coach at Manchester United."
Van Persie also put forward Van Marwijk – who coached the Netherlands between 2008 and 2012 and led them to the 2010 World Cup final – as another top candidate.
"I thought his vision was excellent. He is also a coach who expresses a lot of confidence towards his players," Van Persie added.
"He did that really well. He gave his front players a lot of freedom and we – I'm talking about Wesley Sneijder, Rafael van der Vaart, Arjen Robben and I – handled that in the right way in 2010.
"He gave us the feeling that we are also going to do it for the coach. That really lived with us. We went on cruise control through qualifying, won an incredible amount and we almost became world champions."