According to ESPN, Silas' two interviews impressed team officials and included the last one with owner Leslie Alexander.
Silas, the son of longtime power forward and former head coach Paul Silas, has been an assistant with New Orleans, Cleveland, Washington and Golden State before returning to Charlotte in 2010.
D'Antoni had a second interview with the Rockets and Alexander this week.
Rockets interim head coach J.B. Bickerstaff withdrew from consideration for the position earlier this month. The Rockets fired Kevin McHale just 11 games into what was the first season of a three-year deal.
The Rockets lost to the Golden State Warriors in five games in the first round of the playoffs. After his meeting with team officials, Bickerstaff withdrew from consideration, despite posting a 37-34 record after succeeding McHale.