Pakistan head to the game against India on the back of an unbeaten record in Dubai, having recorded six T20Is wins at the venue.
Babar reached the four-figure mark in his 187th innings the format, after reaching the 25-run mark during Central Punjab's chase of 120.
England withdrew from the proposed tour of Pakistan by its men's and women's teams in October.
This was New Zealand's first tour of Pakistan in 18 years and the series comprised three ODIs and five T20 Internationals with spectators being allowed at 25 per cent of the stadium capacity.
PCB CEO said that the reports of captain Babar Azam being unhappy with the squad for the ICC T20 World Cup were 'factually incorrect'.
At the Dubai International Stadium, Pakistan have played 36 T20 Internationals winning 21 of them.
India have had the upper hand over Pakistan in ICC events and remain undefeated in the 50-over World Cup.
The tall pacer had a 10-wicket match haul in the tourist's 109-run victory over West Indies in the second Test at Sabina Park on Wednesday.
After being reduced to 2/3, Pakistan steered towards recovery courtesy a 166-run partnership between Babar Azam (75) and Fawad Alam (76 retired hurt).
Pakistan will open their account against arch-rivals India in their ICC T20 World Cup opener on October 24 in Dubai, the ICC announced on Tuesday.
Trailing by 36 runs on the first innings, Pakistan reached 160-5 by stumps with Babar 54 not out and Faheem Ashraf on 12.
All four senior Pak cricketers, who were recently awarded 'A' grade contracts by the PCB, have told a senior board official that their match fees should be revised.
Captain Azam hit 85 from 49 balls and Rizwan 63 from 41 in a Pakistan record total of 232-6.
Sarfaraz and Arthur had combined well to take Pakistan to the Champions Trophy title in 2017.
Azam also reflected on his team's performances in the recently-concluded series and blamed bowling and fielding for a three-wicket defeat in the final ODI.
While Kohli is second on the list, his white-ball deputy Rohit Sharma is third with 825 rating points.
Pakistan conceded a 0-3 defeat to an England squad which was arranged merely two days prior to the start of the ODI series.
Babar's 158 off 139 deliveries came after Pakistan's disappointing outings in the first two ODIs against England's second-string side.
Seniors like Wahab Riaz and Shoaib Malik still remain out of the list like last year.
Former Pakistan captain Ramiz Raja talked about comparisons between Kohli and Babar Azam, saying that the latter is a 'stylish' batsman but needs to prove himself in the Test format.
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