The Pakistan Cricket Board Chairman Shaharyar Khan whom Inzamam called on this morning to appraise him about the Australian tour gave the assurance.
The forthcoming tour of India was also discussed in the meeting that was held at the Gaddafi Stadium in Lahore.
"Yes, Mr. Shaharyar assured me that I would complete my captaincy term. He also advised me to ignore the criticism and concentrate on the India tour," Inzamam told reporters from Lahore.
"I didn't specifically ask him about captaincy. The subject was touched by the PCB Chairman himself," he said.
Inzamam has been appointed Pakistan captain till the West Indies tour scheduled in June this year.
Several former Pakistani players including Imran Khan have said Inzamam was not captaincy material and have urged the PCB to appoint a new captain.
Inzamam said the PCB chief was satisfied with the performance of the team.
"But naturally, Shaharyar Khan wants improvement and hopes that if the youngsters showed commitment, hard work and dedication, they would be able to put up a good performance in India.
"Yes, we discussed the Indian tour in detail. But that is something between myself and the Chairman," he said when asked to specify the issues discussed during the meeting.