Since then the 33-year-old Pietersen, arguably England’s most talented batsman, has undergone an intensive programme to regain full fitness.
“(He is) pretty good. He’s come through training the past two days and done everything that’s been asked of him,” Cook said.
“Clearly we have to make a decision tomorrow (Thursday) morning just in case he pulls up different to that, but we’ll see and we’re pretty hopeful.”
South Africa-born Pietersen batted for 15 minutes on Wednesday as bad weather saw England train in Old Trafford’s indoor nets.
Photos: Katrina Kaif, Shamita Shetty at Mumbai airport
Photos: Varun Dhawan, Alia Bhatt promote 'Badri...' on 'Dil Hai Hindustani'
In pictures: 15 facts about kissing that will surprise you
Photos: Shahid Kapoor and Mira Rajput at cafe in Bandra
Photos: Deepika Padukone, Neha Dhupia and Soha Ali Khan at event