"We felt we have a duty as an organisation to project or indicate to the coach what we really expect," South African Football Association (SAFA) president Kirsten Nematandani told reporters.
"We have actually highlighted our aspiration that surely we would want the coach to take us through the knockout stages and most probably the quarter-finals."
All host nations have progressed beyond the first round at World Cup finals but South Africa's poor recent form has created fear of failure.
Parreira was South Africa's coach from 2007 to April 2008 but quit when his wife became ill. He recommended compatriot Joel Santana as his successor but after 18 months and growing concern over the form of the South African side, he was fired last month after a run of eight defeats in nine games.
Parreira has promised to revive the fortunes of the team known as Bafana Bafana before the tournament which starts in less than eight months.
"I am happy and I'm very positive that we will achieve and that we will deliver what everybody is expecting ... the first target is to jump to the next round and after that the sky is the limit," Parreira said.
South Africa will train for one month in Brazil as part of their preparations.
‘After Manchester City’s recent form, maybe they’re the underdogs against Manchester United!’ Former Red Devils defender on this weekend’s derby
‘Arteta, Alonso, Emery, me… none of us were physical players – we needed the understanding of the game. That probably helped us move into management’: Premier League boss reveals reasons for natural career progression
