Benzema was suspended from national team duty by the French Football Federation (FFF) in December pending the outcome of a legal investigation into an alleged plot to blackmail fellow international Mathieu Valbuena.
Although the investigation is ongoing, FFF president Noel Le Graet and national team coach Didier Deschamps have decided Benzema will not be reinstated for the European Championship this summer.
Prime minister Valls stressed in March that the Madrid attacker did not deserve to represent France so long as the Valbuena case was ongoing, also criticising Benzema for being a bad example, and the player's representative, Eric Dupont-Moretti, believes those comments played a big role in the final decision.
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"The prime minister interfered," Dupont-Moretti told RMC. "I blame him for getting involved. That's not his job.
"I have been told that Karim has never caused any problems within the team. Had this decision been a technical one, then we would have had nothing to say about it.
"I hope that Karim's absence will not hurt the team's chances at Euro 2016.
"I spoke to Karim on the phone. Of course this affects him. He is obviously suffering.
"We will not go to court in an attempt to force a return to the national team."