Hosts England moved into an unassailable 3-0 lead earlier today to become the number one Test team in the world at the expense of India.
The tourists have been unable to post a total above 300 in six innings so far and Cook believes all the plaudits should go to the bowling attack.
"It's just a lot of credit to the way our bowlers have bowled and the way we can build pressure continuously at both ends," Cook told Sky Sports News.
"All four bowlers, five if you include [the injured] Chris Tremlett, offer something different and continue to prey off people's weaknesses.
"It's a pleasure to be the ball-shiner for them, because you know it gets rewards."
The final game of the series takes place at the Oval next week.