Hernandez and Moyes worked together at Manchester United, with the Mexican starting just five league games during the Scot's 10-month reign. The 29-year-old is the Hammers' top scorer with four goals, but will not receive any special treatment from his manager.
"He won't be getting any special treatment," said Moyes. "If he is scoring goals and working hard, he will be in. It will be the same for the rest of the team."
The Scotsman praised the striker: "He's a top goalscorer, a brilliant finisher," he added. "It was difficult for him at [Manchester] United because I had Robin van Persie, Wayne Rooney, Danny Welbeck, Shinji Kagawa, so there was lots of competition."
"It was also the same for him when he was playing for Sir Alex Ferguson. But I'm looking forward to him coming back from the international break," Moyes said.