The tactician who was set to lead UAE club Al Jazira appears to have accepted an offer to coach the South American side following Batista's exit, claims AFA chief
Sabella was expected to arrive in UAE on Tuesday ahead of pre-season after being appointed Al Jazira's new boss in June.
However, the 56-year-old failed to turn up, infuriating the Abu Dhabi outfit as they demanded information over his whereabouts on Wednesday.
Grondona explained the coach has been in talks with the AFA over accepting the Argentina job, beating competition from Carlos Bianchi, who was also linked with the role.
"I do not think the appointment of Sabella will cause criticism in Argentine football," Grondona told Radio Rivadavia.
Regarding the non-appointment of Bianchi, Grondona said: "I went to get him twice after the 1998 World Cup in France and he said no.
"Then he made some remarks I did not like. He said things that make it very hard for us to see eye to eye."
Batista recently parted company with the national team after their shock exit in the quarter-finals of the Copa America.