Richardson, the current team manager, is interested in replacing Otis Gibson who resigned recently after discussions with members of the West Indies Cricket Board (WICB) executive, reports CMC.
Richardson Tuesday (September 23) said he would not hesitate to accept if offered the top coaching position.
"I've always said I would never say no when I am asked to do a job for West Indies cricket. I love West Indies cricket that much, so whatever I am asked to do I will say yes," said Richardson, a level three England and Wales Cricket Board (ECB) coach.
"It's very difficult to say 'no I am not going to do it' so if the board approaches me and ask me to coach the team; obviously, I'd seriously think about it."
Richardson has also dismissed reports that he has been acting in the position since Gibson's departure.
Former player Stuart Williams has been occupying the top coaching spot since the WICB and Gibson parted ways last month.
"We all know exactly what we have to do and everything just continued to run smoothly," said Richardson whose contract as manager ends in 2016.
"The only difference is that it's a bit more work for myself and also for the coaches because we are one personnel short, but we rallied and we've always been a very good team. We've always worked well together and we continued in that vein."
The West Indies will tour India from Oct 3-30.