Conte also subbed Hazard before Jesse Lingard's winner at Old Trafford earlier this month, a decision that was highly criticised.
However, Wright says the Blues boss doesn't care about what Chelsea fans think of his tactics and decisions.
“Conte is not bothered," Wright told BBC Radio 5 Live.
“He is not bothered about what people say substituting Hazard. He has done it before. He isn't afraid to do it."