Hazard has struggled to find his best form since arriving at Madrid from Chelsea in 2019, but he scored once and set up another in Saturday's 4-1 LaLiga victory.
The 30-year-old scored and assisted in a single game for Madrid for just the second time and first since October 2019 before coming off just after the hour-mark.
Bettoni, who took charge for the game after Zinedine Zidane tested positive for coronavirus, said Hazard needed time.
"I think Eden has had a tough season and a half with Real Madrid," he told a news conference.
"We have to be patient with him, although obviously in football and especially at Real Madrid, we don't really have time to be that patient but with Eden I think we have to be.