However, the nearly forgotten striker is not the only one within the West Ham ranks to have been out of action for a while, with injury-prone Andy Carroll also still not taking part in upcoming campaign preparations but a potential for a return in the near future.
'We are very optimistic with the four players we have signed, we think they will make a huge difference, ' he added.
But given the fact that Manchester United manager Jose Mourinho has always been so complimentary about the Mexico global, it was suggested he might consider bringing Hernandez back to Old Trafford, where he remains a fan favourite.
Arnautovic accepts it wasn't a great time in his career, and is quoted by Bild as saying: "It was always hard with the newspapers". I'd settle to win a cup. I like that he is passionate but doesn't appear to get angry with his players when things go wrong; he rides the wave with them.
Darren Randolph made the switch from Premier League to Championship last week as he left West Ham for Middlesbrough.
How many goals will Hernandez bag, this season?
"He got a fantastic offer last night", Bilic said. That's why he has never reached his full potential as a player and big clubs steer clear of him. It's not what we wanted but, as a club like West Ham, sometimes we have to sell. He didn't want to have an unhappy camp.
The 29-year-old, who previously spent five years in England with Manchester United, winning two league titles, joins Slaven Bilic's side on a three-year deal after completing a medical in London. For me, the Premier League is the best league in the world and when the opportunity came, I was desperate to sign for this club. "In recent years, he is probably the best proven goalscorer we have signed since we have been at the club". Hernandez, with a club average of a goal every 2.5 games, is the type of forward West Ham fans will love.
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