The Mexicans need just a point against the Europeans if they want to reach the second round of the tournament.
However, Marquez has urged his teammates to do all that they can to take three points from the encounter and boost their chances of finishing at the top of Group A.
"We're not going to play for the draw, that's something we need to watch out for at all times," the veteran defender told FIFA.com. "We won't change our playing system. Croatia will be giving everything for the win and we will too."
Mexico head into the match against Croatia on the back of a goalless draw with hosts Brazil.