England named an entirely revamped 18-man party on Tuesday, with the returning Ben Stokes as captain instead of Eoin Morgan, after three of their players and four support staff tested positive.
Rahul, who has 743 points, and Australia all-rounder Glenn Maxwell have climbed a rung each to be placed sixth and seventh respectively.
Babar Azam has proved great cricketing sense with bat, has to prove it in captaincy now: Pakistan coach Misbah-ul-Haq
The Pakistan team has done well to cope with the bubble life and the coach praised the players for handling things well.
Pakistan Cricket Board Monday congratulated the Pakistan men's cricket team on their sixth consecutive series win.
Babar Azam's match-winning 82-ball 94 in the third ODI against South Africa helped him gain 13 rating points to reach a career-best 865 points.
The ICC on Wednesday announced the nominees to recognise the best performances from both male and female cricketers across all forms of international cricket
The Pakistan captain also said that the two-Test series that starts in Harare against Zimbabwe from Thursday would not be an easy assignment for his team.
Kohli remained firm at the fifth spot but Babar advanced one place to reach the second position in the ICC T20I player rankings released on Wednesday.
Despite skipper Babar's 41-run knock, Pakistan suffered a shocking 19-run defeat in a low-scoring second T20I against Zimbabwe here at the Harare Sports Club on Friday.
Virat Kohli remained firm at the fifth spot but Babar Azam advanced one place to reach the second position in the ICC men's T20I player rankings.
Babar Azam who has scored 1,940 runs at 48.50 in 49 innings, will be eyeing to achieve the feat in the first T20I against Zimbabwe.
Pakistan won the four-match T20 series 3-1 but in two matches, they somehow scampered to victory in the final over against a depleted SA side.
Pakistan's Babar Azam on Wednesday said his ultimate dream remains to be the number one Test batsman in the world.
Pakistan captain Babar Azam has ended Virat Kohli's long reign at the top of the ICC Men's ODI Player Rankings.
Aaqib Javed on Sunday said that India skipper Virat Kohli should look to follow Babar Azam in order to improve his technique.