The company has asked travellers who had flights booked not to turn up at airports and offered them a chance to rebook for free or to fly on other flights operated by partner airlines.
It however said it was making plans to resume international flights by Sunday night.
"The airline is pleased to announce that it is aiming to operate all international flights with effect from Sunday 17 November 2019 and customers should report to the airport as normal," it said in a statement.
More than 3,000 workers, including cabin crew, check-in, ticket sales, technical and ground staff are taking part in the open-ended, according to unions.
Hundreds of placard-waving workers picketed outside the SAA head office near O.R. Tambo International Airport in Johannesburg - one of the continent's busiest airport - singing and dancing. "We will continue with the strike (until demands are met)," Sifiso Mabena, an aircraft mechanic at the airport told AFP.
Unions pressed on with the walkout after talks with management deadlocked.
Zazi Nsibanyoni-Mugambi, president of the South African Cabin Crew Association (SACCA), however said a new round of mediated talks with the airline was expected on Saturday. "We have always and will always be willing to negotiate and talk to management, we have told them this time and time again," Nsibanyoni-Mugambi told AFP.
"We are hoping these talks will bear fruit," said Phakamile Hlubi-Majola, spokeswoman of the National Union of Metalworkers of South Africa (NUMSA) said to eNCA television network.
The airline, which employs more than 5,000 workers, is one of the biggest in Africa, with a fleet of more than 50 aircrafts providing dozens of domestic, regional and international flights each day.