"And I feel really confident with the group of players we have got here that we can provide that".
The Scot has been out of work since failing to keep Sunderland in the top flight last season.
Bilic, who also played for West Ham, is the fourth Premier League managerial casualty of the season following the departures of Crystal Palace boss Frank de Boer, Leicester manager Craig Shakespeare and Everton's Ronald Koeman. They should be in a better position than they are. "I've got no doubts about that, but ultimately we have to show it on the pitch".
West Ham fans traditionally like to see their players produce a stylish brand of football.
He added: "We need somebody with experience, knowledge of the Premier League and the players in it, and we believe David can get the best out of the players".More news: Rand Paul's injuries from assault more severe than initially reported
But with just nine points from their first 11 games of the league season, results are the most important thing.
While it is not quite stepping into Sir Alex Ferguson's shoes at Old Trafford, Moyes finds himself replacing another popular figure in the shape of Bilic, who the fans never turned on despite their struggles over the last 18 months.
His first game in charge will be an away trip to Watford after the global break on 19th November.
As impressive as Moyes' 11-year stint at Everton was - with nine top-eight finishes and having guided the club into the UEFA Champions League qualifiers in 2005 - he knows he can not dine out on that forever.
The hope at the London Stadium will be that West Ham can measure up to Everton in terms of stature, given the money and the facilities at their disposal and the talent in their squad.