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Jonathan Trott (143) and Ian Bell (116no) both hit centuries to ensure the fourth test in Nagpur was drawn, giving the tourists a 2-1 series win, BBC reports.
Cook said the 2010-11 Ashes victory in Australia, England's first down under in 24 years, "meant a huge amount", but he added: "I think this is on a par with it.
"In that dressing room, knowing what we had achieved, it was a special place and will live long in my memory."
England started the day on 161-3 and lost only Trott's wicket as they remained intent on securing the draw, which was achieved when the declaration came with an hour to go, at which point the match was called off.
Cook (27) was named man of the series after scoring three hundreds and 562 runs in the four-match series.
The skipper had praise for his team, saying ''the amount of effort the guys have put in for me, I can't ask any more''.
James Anderson, man of the match after taking 4-81 in India's first innings in Nagpur, was described as the difference between the two sides by India captain Mahendra Dhoni.
The 30-year-old fast bowler took 12 wickets in the series and played a key part in England's success.