Marquez is a Barcelona team-mate of Messi's and is aware of the fact that he possesses the ability to cause Javier Aguirre's men some serious problems in Johannesburg.
But the 31-year-old is adamant that if they can deny the Fifa World Player of the Year time and space at Soccer City they can keep him out of the game.
"I know him (Messi) pretty well - he is tough to play against and to stop," said Marquez. "We have to try to close down the space in which he operates as it is difficult to get the ball off him.
"He is the best player in the world. He is very gifted on the ball and he can change the rhythm of a game at will.
"We have to close down the space and cut off the supply so he gets to see less of the ball."
Marquez also revealed that he believes his Mexico team-mates can take advantage of Argentina's defensive frailties and overcome the odds by reaching the quarter-finals.
"Defensively they are not that great even if they have one of the best attacks," added Marquez. "We will look to do as much damage as possible and take advantage of the weaknesses they have. We will look to get the ball.
"We are hoping to turn in the perfect match. There has always been this pessimism in Mexico. Sometimes we do not have this credibility, this little extra bit of belief that others can perhaps have.
"We believe in ourselves and we are going to go out and work to give our people something to be joyous about at the end of the day. We are changing our mentality. We are getting stronger, looking to get better. Okay, it's Argentina. So what?"