The Tottenham Hotspur teenager continues to impress.
The ex-Lyon manager's first game in charge of Villa saw them hold Manchester City to a 0-0 draw at home.
Martinez says Lukaku is trying to become the best in the world.
Liverpool suffered their first defeat under Jurgen Klopp with a 2-1 loss to Crystal Palace in the Premier League.
Tottenham Hotspur drew 1-1 with Arsenal, with Dele Alli putting in a Man of the Match display.
Aston Villa got off to a good start under Remi Garde by drawing against Manchester City.
The Liverpool defender could be out of action for some time.
West Ham United were pegged back in a 1-1 draw against Everton on Saturday but what did we learn from a game which leaves them sixth in the Premier League?
Tottenham Hotspur are currently just three points behind the top-four in the Premier League table.
Newcastle United beat Bournemouth 1-0 in their most recent fixture.