Jurgen Klinsmann and Graeme Souness have both criticised Benitez recently but the Reds boss has pulled no punches in his response.
"There is always criticism but I don't listen. I turn off the volume on the TV," he said.
"Both have fantastic records as managers, so the fans ignore what they say.
"I think he [Klinsmann] was an expert in marketing. His management career? Short."