Farbrace is confident that Cook will make his decision on captaincy keeping the team in mind.
"We've planned, and have been planning, for Cooky to be captain going to the Ashes in Australia next winter," said Farbrace.
"Personally, I hope that continues. We know he still has the support of the team, and he's a very popular bloke and very popular captain," he was quoted as saying by 'The Guardian' newspaper.
The 4-0 defeat in India means England have lost six of their last eight Tests under Cook.
Cook, who turns 32 on Christmas Day, has requested time to think after th disastrous India tour.
Cook's future was a talking point throughout the tour after he told a magzine during an interview that he was uncertain about his future as England test captain.
"There's no uncertainty within our team. He's captain, everybody knows where they stand with him - so there's absolutely no uncertainty whatsoever. The uncertainty is outside of our team. When you lose a series 4-0, of course people will talk about the leadership. We all know that.
"We would all, at the end of this series, be having a think about what we can do better, what have we learned from this series and what do we need to do to make this team win. Ultimately, that's what we're here for. But there's nobody looking round the dressing room thinking: 'Ooh, I wonder who's in charge?' It's very clear who's in charge, and that hasn't changed," Farbrace said.
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