Coach Cesare Maldini is under pressure after Paraguay lost a 2-0 lead against South Africa on Sunday.
The media in Paraguay has been critical of the conservative tactics employed by the former Italy coach when his side were in command.
But the worst attack came from interim Paraguay Football Association president Jose Medina.
"It is clear that he cannot lead the team," said Medina. "He is unable to communicate with the players."
And Medina believes that veteran goalkeeper and captain Jose Luis Chilavert - who missed the South Africa match - has the most influence in the squad.
"I believe that in this situation Chilavert will act as coach," said Medina.
Maldini contributed to the row with comments made to the press in Japan.
He said: "This job is similar to the one with Italy, with the difference that Italian players are more intelligent and hard-working."