"He is our player and we're very happy", said Bilic ahead of Sunday's season-ending visit to Burnley.
Mancini has been linked with West Ham ever since Paddy Power opened up the Next West Ham Manager Betting last month, but the biggest move in the market came today (Thursday) after the Italian's odds were slashed from 7/2 to just 4/7.
But full-back Alvaro Arbeloa, who signed a one-year deal after his release from Real Madrid last summer, is set to leave the club with his contract expiring. We will give everything to try to win the game.
Bilic also confirmed that defender Winston Reid would be out for around 10 weeks after undergoing surgery on a knee injury.More news: Enda Kenny resigns as Irish Fine Gael party chief
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The Spaniard, who is back in the Hammers' first team after winning back his place from Darren Randolph, was out of contract this summer. This week they will be able to play with a lot more freedom and that might allow us to see what this team really has to offer in the Premier League next season. He has a hip problem and has not played the last few games.
With Winston Reid out injured, Ireland U21 global Declan Rice could make his Premier League debut this weekend. All in all though, I think that the Hammers are the better side and in a dead rubber like this one, they will get the job done. He is very good for his age. He has a bright future in him and it's all down to him.
The New Zealand global has undergone season-ending surgery on a chronic knee injury which he has played with for the past few weeks.