Prime Minister David Cameron says Liverpool striker Luis Suarez set "the most appalling example" by biting Chelsea defender Branislav Ivanovic.
Suarez has since been banned for 10 games by a Football Association panel.
Liverpool boss Brendan Rodgers has claimed that previous comments from Cameron swayed the panel's decision.
Before the panel announced a punishment that Liverpool said left them "shocked" and "bitterly disappointed", Cameron had said that "it would be very understandable if the panel took into account that high-profile players are often role models".