The leg-spinner was hit for 11 sixes and three fours as England piled up 397/6 in 50 overs.
Eoin Morgan was in devastating form, hammering 17 sixes and four boundaries in his 148 off 71 balls.
It is still unclear if the injuries to Jason Roy and Eoin Morgan in Southampton on Friday will rule them out of the Afghanistan clash on Tuesday.
Morgan is doubtful for the next World Cup game having suffered a back spasm while Jason Roy undergoes a scan for hamstring strain.
England fielded an unchanged side from the Bangladesh game, while West Indies made three changes with Evin Lewis, Andre Russell and Shannon Gabriel coming into the team.
England captain Eoin Morgan said Wood's latest injury problem did not mean he was facing the end of his World Cup.
Senior Pakistan all-rounder Mohammad Hafeez said that Pakistan players were also warned of a penalty if they kept throwing the ball on the bounce from the outfield.
England were flawless in the field in their opening win over South Africa at the Oval, but was far from impressive at the Trent Bridge.
Morgan was well aware of the attraction of an Archer-Wood partnership especially after Pakistan were undone by a barrage of bouncers from the West Indies.
Half-centuries by Jason Roy (54), Joe Root (51), Morgan (57) and all-rounder Ben Stokes (89) helped the hosts post 311 for eight before they bundled South Africa for a paltry 207.
Pietersen, who played alongside Morgan in the past, heaped praise on the current skipper for transforming the current English side.
Three Lions start favourites in a tournament likely to be dominated by bat but there are questions in bowling that Eoin Morgan & Co must answer before they can dream big.
The 38-year-old warned England to ignore the hype as they go in search of a first World Cup title.
The No.1 ranked ODI side, England have won 15 of their 19 series since being knocked out of the 2015 edition.
The tournament will be held across Ireland, Scotland and Netherlands from August 30 to September 22.