Garnacho, who represents Argentina internationally, has been linked to other clubs including Chelsea and his former team Atletico Madrid.
Despite these connections, Al-Nassr is also showing interest in Garnacho and views him as a potential alternative to Liverpool winger Luis Diaz.
Playing for Al-Nassr could provide Garnacho with the opportunity to share the pitch with his idol, Cristiano Ronaldo.
Ronaldo is currently negotiating a new contract with Al-Nassr and there is confidence that the deal will be finalized soon.
Al-Nassr sees Garnacho as a suitable replacement for Sadio Mane, who has been informed that he is free to leave the team this summer.