Antero Henrique spent two years as sporting director at PSG before leaving in 2019.
The Portuguese facilitated Bruno Fernandes' move to Old Trafford in January.
And Le10Sport says United want to hire Henrique as their first sporting director.
However, they will be under pressure to retain Henrique's services as Newcastle are also interested.
Toon are close to being purchased by a cashed-up Saudi consortium.