Disclosing this, BCCI joint secretary Goutam Dasgupta said that letters had been sent to the aspirants by BCCI secretary S K Nair.
The six member BCCI committee formed to select a new coach for the Indian team had on Sunday shortlisted Australians Greg Chappell and Tom Moody and former Indian players Mohinder Amarnath and Sandip Patel for the coveted post.
In the next stage, they would have to appear for an interview which would be held either in Kolkata or Delhi.
The final date would be decided after ascertaining the availability of the four former players. The venue would be either Delhi or Kolkata.
The BCCI was also in touch with three other former internationals from abroad and they could also be invited to the interview if they expressed their willingness, Dasgupta said.
The names of former West Indies players Desmond Haynes and Vivian Richards and another ex-Australian cricketer John Inverarity were doing the rounds in this respect, though there has been no official confirmation so far.
''Lot of speculation is on. People are coming out with so many names. But we won't make the names public from our side, at least at this stage,'' Dasgupta said.
BCCI president Ranbir Singh Mahendra, who chairs the committee, has already announced that the name of the new coach to succeed New Zealander John Wright would be made public by June 15.
The six-member committee - which also includes former Indian skippers Sunil Gavaskar, Ravi Shastri and Srinivas Venkataraghavan - have been given overall powers to choose a new coach. Their recommendation would be placed before the BCCI working committee for ratification, which is a mere formality.