The pair will meet in the International Champions Cup.
Zidane said in an interview with Charlie Stillitano, the executive chairman of the ICC, "For the clubs, it is important because we want to give the fans a good image of Madrid.
"We are going to try to have a great game and show how good the two teams are.
"I have a lot of respect for Simeone as I do for all managers.
"He has been training for a long time and works very well with his coaching staff.
"He has a good team and is part of a big club.
"He does a great job and I respect him a lot."