Defending three-time champion Hamilton reeled off his fourth win in five races as he steams up behind Rosberg in the title race.
The four-times world champion, Sebastian Vettel had gearbox problems on Friday and again on Saturday at Silverstone.
The Mercedes one-two was followed up by Red Bull`s Max Verstappen.
McLaren are on a long road back after a difficult switch from Mercedes to Honda power units.
Triple world champion Hamilton was quickest in both practice sessions.
It is the first time this season that Force India boss is attending an F1 race
Raikkonen won the 2007 world championship with Ferrari in his first stint before rejoining from Lotus in 2014.
The British Grand Prix is considered a home race for Force India.
A 140,000-strong crowd is expected at Silverstone on Sunday with most cheering on Hamilton who won last year.
Hamilton won Sunday`s race after surviving a collision with Rosberg on the final lap.
Mercedes boss Toto Wolff described the collision as "brainless", without singling out either of his drivers for blame, and told reporters he might have to consider imposing so-called `team orders` in future.
Hamilton`s win ended Rosberg`s hopes of a third consecutive victory and cut the German`s lead in the title race from 24 points to 11.
It was Hamilton's second successive pole in Austria, his fifth of 2016 and the 54th of his career.
Since Austria returned to the calendar in 2014, after an 11-year absence, Rosberg has won both races and Mercedes-engined cars have swept the podium.
Hansie Cronje was the toughest bowler I have faced. He was tricky to play. Even when I am set, when I see Hansie coming in to bowl I used to tell myself, anybody but him.