Writing in "The Telegraph" newspaper on Wednesday, Warne said he was looking forward to an "absolutely fascinating clash" between Cook and Clarke in the Ashes series next year in England.
The spin legend was impressed with the way Cook batted so far in India-England Test series and also the way the left-hander has led his team.
"Cook will be concentrating on trying to win a series in India but the rest of us can look into the future to an absolutely fascinating clash next summer with Michael Clarke, the Australia captain," Warne wrote.
"Cook has settled into the job as captain superbly and I believe in the Ashes we will see the best two captains in the world. They are also probably the two best two batsmen in terms of consistency.
They are different captains. Clarke is a bit more advanced in terms of imagination and his understanding of the game. That is his personality, but Cook is just as good a leader. Clarke is having a great run because the players are enjoying playing under him, they haven't lost and he has lots of imagination. He is always trying to win regardless of the situation. But Cook is a very good thinking captain as well," he added.
The way Cook batted in Mumbai, where he scored a century, Warne feels the opener showed other how to bat in Indian conditions.
"His (Cook) captaincy in the field has been imaginative and he used the right bowlers to the right batsmen (in Mumbai). He then batted beautifully, giving an exhibition of how to bat in India," Warne said.
Warne was part of the TV commentary team in Mumbai for the Test match.