"We have two world class batsmen at the crease and (Ian) Bell is still to come," Patel said during the post-match interaction at the end of second day's play.
Cook and Pietersen were at the crease at the end of day two on a track where the ball was turning off the rough and keeping either low or jumping at times.
"That happens, that's cricket. Both of them (Cook and Pieternsen) can go and get big hundreds," Patel, who himself has been in good form with the willow, exuded confidence.
The left-arm spinner feels that since the ball is new, it is helping Ravichandran Ashwin and Pragyan Ojha to extract more turn off the pitch.
"I think the ball is hard. It spins when it is harder. When it gets soft, we can get in. Cookie and KP should bat long."
The all-rounder praised Cheteshwar Pujara, Virender Sehwag and Yuvraj Singh for their impressive knocks.
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"Sometimes you have to give credit to the batsmen. Sehwag played an outstanding knock yesterday. Pujara carried on from yesterday and today, Yuvraj played well too. They are good players of spin bowling and we know that."
Questioned on his team's strategy tomorrow, Patel said,"We know what we can do tomorrow. On this wicket, you can wear teams down and that's what they did. It's also something we expected. We were prepared." (MORE)