Dlamini-Zuma has held a string of ministerial posts under South African presidents, including the foreign affairs and home minister portfolios.
Nkosazana Dlamini-Zuma, who has four children with President Zuma, is the head of the African Union Commission and a leading candidate to take office as president at the 2019 general election.
Zuma is expected to step down as African National Congress (ANC) party leader at the end of this year, although he will remain the country's premier until the election when his successor as head of the ANC will likely also succeed him as national president.
Dlamini-Zuma, 67, has not declared her candidacy, but last weekend the ANC women's league gave her a major boost by publicly declaring its support.
"It is no longer a discussion in the ANC whether a woman can take a high leadership position or not," Zuma said on local radio.
"The ANC is ready for that‚ in fact the party has been ready for some time.
"It will depend on the integrity that she possesses and whether members see her fit for the position."
Fielding listeners' questions on another public radio on Thursday, the president said Dlamini-Zuma possessed the credentials to lead Africa's most advanced economy.
"If Nkosazana becomes the president, is that not a concern to the family? In fact not at all. She has grown in the (liberation) struggle, she has held a number of positions, she has been a minister. There is no question at all.
"If the ANC says 'we think we can give you this responsibility' and she agrees, that's not a concern at all, not at all in so far as the Zuma family is concerned."
Zuma, 74, who has been engulfed by corruption scandals and poor economic data since he came to power in 2009, completes the maximum two terms in office as national president in 2019.
In August, the ANC -- which came to power in 1994 under Nelson Mandela after the end of apartheid -- recorded its worst-ever election results at local polls.
Among Zuma's other possible successors are deputy president Cyril Ramaphosa and ANC treasurer-general Zweli Mkhize.
Zuma survived an attempt by ANC rivals to oust him in November, shrugging off criticism of his conduct by the official anti-graft watchdog and the Constitutional Court.
Dlamini-Zuma is not seeking a second mandate at the African Union, a move that has increased speculation that she has ambitions to succeed her ex-husband at the ANC.
She has held a string of ministerial posts under South African presidents, including the foreign affairs and home minister portfolios.
Her four years at the head of the AU have given her an international profile which has further increased her status as an ANC heavyweight.