Zwolle are coached by former City boss John van't Schip.
FourFourTwo understands van't Schip is keen on signing Genreau.
Attacking midfielder Genreau debuted for Melbourne City in the A-League in 2016.
The skillful 19-year-old, who was born in France, has just four first-team appearances to his name.
Genreau signed a three-year deal with City in March 2017.
He has two caps and one goal for the Young Socceroos.