England fly out on Sunday for a seven-match series designed as part of their preparations for next year's World Cup in Australia and New Zealand.
They do so with the furore over star batsman Pietersen's book having just about died down since it was launched in a blaze of publicity last month.
South Africa-born Pietersen, ditched by England earlier this year following the 5-0 Ashes series loss in Australia, blasted former coach Andy Flower and several current players, saying a "bullying culture" had been created in the dressing room.
"We've had a couple of weeks together and we haven't felt the need to talk about it at all," Cook said.
"It's all happened now, it's all out now from his (Pietersen's) side and as players we've left it, there's nothing more that can really come out.
"We just want to build and move forward as a side and as a captain, that's a good place to be."
England have lost five of their last six one-day international series and last week retired India great Sachin Tendulkar wrote off their chances of winning the World Cup -- something England have not done in nearly 40 years' of trying.
