Australian media had on Monday reported that the former paceman was sacked by the Indian Board but Dawes said he turned down the offer to work at NCA.
Dawes and fielding coach Trevor Penney's were asked by the BCCI to go on a break after India's debacle in the away Test series against England in August.
"It was absolutely amicable. We were involved in a process over the past two months that we had been working through," Dawes told ESPNcricinfo.
"The actual process and what went on, I don't really want to talk about it. It is just not worth talking about it. We parted ways really amicably and I don't want to risk in any shape or form," he said.
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Dawes said BCCI had given them the option to continue working with them at NCA but it was not something he wanted.
"That was one of the options at one stage we thought about. But I decided to move on," Dawes said
Dawes had told an Australian newspaper that the BCCI felt language had been a hindrance in his interactions with the Indian players.
"But I had things in place to assist me with that. I have a very simple grasp of Hindi but cricket is also a universal language. I would use either the manager or one of the bowlers who spoke English to communicate. I would use Ishant Sharma all the time because he spoke good English. I would always make sure he was around to give me a hand.