Osorio refused to identify Neymar by name following the defeat but claimed the play-acting, and the ensuing delays in play, had been badly handed by Rocchi.
Mexico coach Osorio was far from happy and his team will need to play a lot better if they are to go beyond the last 16 for the first time since 1986.
Juan Carlos Osorio's Mexico came unstuck against their Scandinavian rivals' more direct approach in Yekaterinburg.
If Mexico beats Sweden on Wednesday it would win its group with a perfect record, something it has never achieved in its long World Cup history.
Osorio, who previously coached Brazilian club Sao Paulo, has been criticized as unorthodox to the point of stubbornness.