CBN radio and Estado de Sao Paulo were reporting that the remaining matches of the eight-team tournament could be cancelled as demonstrations continue across the country.
However, a FIFA spokesperson told Sky Sports News that there were no plans to cancel any of the remaining fixtures and no discussions had taken place with tournament organisers.
An estimated 1,000,000 people took to the streets in more than 80 Brazilian cities over protests about the quality of public services, corruption and the high cost of staging next year's World Cup finals.
Brazilian police mounted a huge operation at the Maracana on Wednesday night for Spain's clash against Tahiti, with 1,500 armed police drafted in to protect the stadium.
"We support and acknowledge the right of free speech and to demonstrate peacefully and condemn any form of violence," read an official FIFA statement.
"We are in constant contact with the local authorities and have full trust in the security arrangements in place. We will continue to monitor the situation.
"At no stage did FIFA, the Local Organising Committee (LOC) nor the Federal Government discuss or consider to cancel the FIFA Confederations Cup.
"We are in constant contact with all stakeholders, including the teams, and keep them updated on all arrangements made. We have not received any requests to leave Brazil from any team."
The tournament is due to resume on Saturday with Italy facing Brazil in Fortaleza and Japan playing Mexico in Belo Horizonte in Group A.
The final and third-place play-off are scheduled for Rio de Janeiro and Salvador respectively on Sunday week.