Lazaar can play in defence and on the left side of midfield, and his versatility was said to be an appeal to Bilic.
He has less than 12 months remaining on his Rosanero deal and is available at a relatively cut-price £2.5million.
The 16-time capped international was integral to Palermo’s Serie A campaign last season, making 30 domestic appearances for Davide Ballardini’s side.
In other West Ham transfer news, they want to sign a £28million international to solve their crisis.