Nicknamed 'the Jewel' back in his native Argentina, Lanzini's displays have caught the eye both in an attacking sense and for his somewhat surprising combative qualities.
The Irons boast the best away record in English top-flight, with four wins and a draw taken from their first five games on the road.
Bilic's attack-minded side have already taken the scalps of Arsenal, Liverpool, Manchester City and fellow high-fliers Crystal Palace away from home.
And they have done it in style too, cementing their place as the second most prolific team in the Premier League behind leaders Manchester City.
'Why can't we dream big?'
There is a buzz around West Ham after the brilliant start and with the impending move to the 54,000 seater Olympic Stadium, Lanzini has told the club's official website it is time to start thinking big.
Lanzini said: “I am playing football in one of the best leagues in the world and I am really enjoying it," he told whufc.com.
“Moving to the new stadium is a big investment and change for the club.
“Why can't we dream big? But I think we have to think about the present first of all and carry on the path that we have been taking.
“When the team is doing well success eventually follows and we want to achieve great things."
Embrace the excitement
Bilic's attacking style and some fantastic transfer business over the summer seems to have lifted West Ham onto another level this season.
Star players like Dimitri Payet, Manuel Lanzini and Victor Moses have turned West Ham into a genuine threat.
Leaving their beloved Boleyn Ground home of 112 years will undoubtedly be a huge wrench.
But the move to the Olympic Park, which hugely impressed interested viewers of recent Rugby World Cup matches held there, will only accelerate West Ham's progress on and off the pitch.
The only slight blot on the copybook has been some indifferent home form, with the Hammers having lost to Leicester City and Bournemouth and drawn with Norwich City at Upton Park.
Out of sorts Chelsea are in town next, in what is West Ham's sternest test of the season at home so far.
A win for the Hammers would leave them on 20 points from the first 10 games.
If they can keep close to that average by the end of the season, it will be a very exciting future indeed.