All eyes will be on the Welshman following his €100 million switch from Tottenham Hotspur last month.
"Bale will travel to Villarreal and will play, although I don't know if he'll start or come off the bench," Ancelotti said at a press conference.
"Bale and Cristiano Ronaldo are two excellent players and I have no doubt that they will improve the team together.
"What I like the most about Bale? His motivation and his desire to make an impact here at Madrid. He is very happy and humble."
Bale's high-profile transfer bettered the previously unequalled €94m Real paid for Cristiano Ronaldo to Manchester United in 2009.
