The 22-year-old only moved to PSV Eindhoven a year ago but had a stunning season, scoring 17 goals and assisting eight in 29 games.
He then came to global prominence in Mexico’s first World Cup game where he scored the decisive goal in a famous 1-0 win against Germany.
Lozano, known as “Chucky” in Mexico, is valued at £27million on Transfermarkt but it is likely the Dutch club will demand much more following his impressive World Cup.
Along with his goal against Germany, he registered an assist for Javier Hernandez’s goal against South Korea.
In the four games Mexico were in the tournament, Lozano, who is nicknamed Chucky back home in Mexico, made six key passes and won an impressive 14 fouls.
He was a general nuisance for opposition defenders and was a constant threat with his lightning pace and great technical ability.
If he does indeed make a move to the Premier League, he would likely get more time at Arsenal who are lacking any wide men, whereas Manchester United are blessed with options in wide attacking positions.