Cook led his team to a victory, in his first tour as permanent Test captain, as a nine-wicket defeat in the first Test in Ahmedabad was followed by successive victories in Mumbai and Kolkata. And on Monday, thanks to centurions Jonathan Trott (143) and Ian Bell (116 not out), they finished the job with a series-clinching draw in Nagpur.
Success in Australia came after a wait of almost a quarter of a century, while success in India was the first since 1984-5. And Cook said: "I think it's on a par with the Ashes."
He added: "As an Englishman, winning in Australia after so long meant a huge amount. But in that dressing room there for that last half an hour, knowing what we had achieved, it was a very special place and it will live long in my memory."
Cook led from the front throughout, including a defiant 176 in that initial defeat and then a big century too in each of the next two Tests, while Trott and Bell combined relentlessly to keep India at bay for more than 150 overs in England's second-innings 352 for four declared on Monday.
England always professed public belief that they could overturn history and refute perceived wisdom of their surefire failings on the sub-continent. Cook admits nonetheless that, after their nine-wicket defeat in Ahmedabad, they needed to convince themselves as well that they could succeed here.
"Of course there was doubt," he added. "There is always doubt, especially after halfway through day two when we were getting rolled. I was surprised at the level we managed to achieve so soon after Ahmedabad."
Spinners Graeme Swann and Monty Panesar took 19 wickets between them in Mumbai, where Kevin Pietersen's wonderful 186 helped Cook lay the foundation for victory. All along, lynchpin seamer James Anderson - man of the match in the final Test for his four wickets - has been a paragon of discipline and supreme reverse-swing skill.
Cook was grateful to them all, adding: "(There was) Monty coming in, Jimmy outstanding with the reversing ball and Swanny the leading wicket taker. Those three were fantastic. Clearly we got it wrong in Ahmedabad in not playing Monty, but when we put it right he has been outstanding."
Above all, the skipper insisted it had been a collective effort and a learning curve for the tourists, saying: "We have to give ourselves a lot of credit for the way we played. It has been an incredible tour and to end it today and how convincingly we managed to bat out (was great)."