New Zealand will head to Australia at the beginning of February for the start of the tri-series between the three teams, taking on Australia in Sydney before bringing the series back to home soil with a match against England in Wellington.
Fellow Stags new-ball bowler Seth Rance also returns to the Black Caps set-up after featuring in two of the three recent T20s against the West Indies, the 30-year-old joining the squad early in time for the fifth and final ODI against Pakistan in Wellington on Friday.
For Pakistan, left-arm paceman Raees returned figures of 3-67 and allrounder Faheem Ashraf chipped in with 2-49.
"We had some good performances and hopefully we'll play well and win this game", skipper Sarfraz Ahmed said.
Henry makes his first global appearance since the Boxing Day ODI against the West Indies, replacing world class left-armer Trent Boult, who is rested.
Allrounders Aamer Yamin and Mohammad Nawaz are both introduced, along with opening batsman Umar Amin.
ICC ODI team of the year: David Warner (Aus), Virat Kohli (Ind), Rohit Sharma (Ind), Babar Azam (Pak), AB de Villers (SA), Quinton de Kock (SA), Ben Stokes (Eng), Trent Boult (NZ), Hasan Ali (Pak), Rashid Khan (Afg), Jasprit Bumrah (Ind).