The former Beşiktaş boss said: “I would love to be the next Alex Ferguson or Arsene Wenger for West Ham but you never know in football.
“I do not see myself as a really gifted manager or a bad one but I have one a few important games here which boosted my popularity but I am not one to get carried away I know how quickly things can change and always strive to improve.”
Bilic has hit the ground running at West Ham beating reigning Premier League champions, Arsenal, Liverpool and Manchester City already this season but still has a long way to go if he wants to emulate Ferguson.
The Manchester United legend won 13 Premier League titles, 5 FA Cups, two Champions League’s, the UEFA Cup Winners Cup, the UEFA Super Cup, the Intercontinental Cup and the FIFA World Club Cup among countless other trophies during his time at the Red Devils.
Bilic replaced Sam Allardyce as West Ham boss over the summer after spending two seasons in charge of Beşiktaş. The former Croatian national team manager guided the Black Eagles to the Europa League quarter-finals last season.