"SAFA is fully behind Carlos Parreira. We support him. We support Bafana Bafana," said SAFA president Kirsten Nematandani in a statement.
"We call on the nation to once again rally and stand behind Bafana," he added.
Nemantandani said that he was reacting to reports that some Bafana Bafana players were allegedly unhappy with Parreira's tactics and team selections.
"Unnamed players have also accused Parreira of favouritism."
Nematandani said that the most important challenge awaiting Bafana was to score a convincing win over France on Tuesday.
"If we win, we may move into the last 16."