The interim manager has welcomed Harry Maguire, Phil Jones, Jadon Sancho and Cristiano Ronaldo back in training this week after they were absent for the Emirates FA Cup third-round victory over the Villans on Monday night.
However, Luke Shaw and Scott McTominay are both unavailable for Villa Park due to the one-match suspensions they must serve for racking up five yellow cards in the Premier League.
Paul Pogba is still ruled out, due to the injury he sustained while on international duty with France last year.
"I think they will be available," Rangnick told a press conference, when asked for the team news regarding Maguire, Ronaldo and Sancho in particular.