Delio Duarte has previously declared that his son, the 20-year-old Brazil international, has set his heart on a move to Porto after being convinced by compatriot Hulk.
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Duarte, however, has accused him of ignoring what his son wants and treating him like a puppet.
"I think Atletico Mineiro should respect his wishes," he told Maisfutebol.
"I understand Atletico want more money but the player cannot be a puppet. He gave so much to the club, he wants to go to Porto, they should try to reach an agreement.
"He is very focused on the World Cup. I think that, if he goes to Ukraine, he will lose ground. He doesn't even consider this possibility. Portugal is different.
"[Brazil coach Luiz Felipe] Scolari is very fond of Portuguese football and always watches. For him, playing in Portugal would be as or more important than staying here."
Bernard has repeatedly stated that he will not rush his decision and wants to move to a club where he will be able to play his way into the Brazil squad for next summer's World Cup.