Cook applauds efforts of Ahmed, Flower
"We're very lucky that we have got people like Mushy (bowling coach Mushtaq Ahmed). He's experienced in these conditions having grown up in Pakistan, playing in these conditions all the time," said Cook.
"His nuggets of advice, which you can only get from experience. He works very hard. And we've got Andy, how he batted here. So, two very good people. These are very important wins. We had a tough 2012. The way we quickly managed to rectify few of our problems, it's a credit to our coaching staff and the leadership of Andy Flower.
"Also to the players as well, especially on this tour. A new captain, things are slightly different. I can't praise them enough. Unfortunately, the job's not done yet," added Cook looking ahead to the fourth and final Test in Nagpur beginning on Thursday.
Cook led from the front with a masterclass 190 as England displayed a clinical performance to defeat India by seven wickets in the third Test at Eden Gardens here today, for their second successive Test wins.
The way English batsmen have tackled Indian spinners with ease had surprised many but Cook did not want to read too much into it.
"Because if we have another bad performance, the old flag is up again. We are going in the right direction. I said this at the beginning of the tour, and I will have to keep saying it that we have to keep improving and keep working hard," said Cook.
"New guys have come in and we need to give them the best advice that we can…what we have learnt from this tour and what we have learnt in the last 12 months as an England side.
Keep passing that information so that the experience that few of us have got now and we can keep using that," said Cook.
James Anderson was the pick of the English bowlers at the Eden Gardens, claiming six wickets as he troubled the Indians with his reverse swings.
"We know what quality Jimmy possesses, and Steve stepping up after not getting match practice and hitting his mark straightaway with figures, very difficult to score off.
"It's a credit to their fitness and heard that even when it gets tough, they keep running in for me. As a captain that's all you can ask for," he said in his praise of the pace duo of Anderson and Steven Finn.