Eriksson, who takes on his native Sweden on January 28 in Mexico's first friendly of the year, has included four naturalised players for the game, upsetting even members of his own squad.
Goalkeeper Guillermo Ochoa was among those who said that Eriksson was denying native Mexicans the chance to play for their country.
"It's a very delicate situation, there are a lot of Mexicans waiting for a chance in the national team and this makes it more and more difficult for them," he told reporters.
"It's obvious that the Mexican player should have better opportunities, so I think the matter of the naturalised players needs more analysis."
"I don't think I'd like to see 11 naturalised players in the national team."
Eriksson's team stuttered through the semi-final stage last year, qualifying only on goal difference from Jamaica and finishing behind Honduras in their group.
Eriksson's selection problems have mounted recently, with most European-based Mexican players being left on the substitutes' bench by their clubs.
"Lucas Ayala is a player who has tried hard and he deserves to be called up," Raul Arias, coach of first division club Necaxa, told sports daily Ovaciones.
"But I believe that there are at least two Mexican players in his position who are better.
"The blame does not lie with Eriksson but with the people who allow him to do this and do not make him appreciate the situation."
Media commentators have echoed Arias's sentiments.
"I arrived in Monterrey in 1995, I've played for a number of teams in the second division, I spent 18 months with Tigres UANL and now I'm here with Atlas," he said.
