Zimbabwe will take on India and hosts Australia early next year in a one-day triangular.
Henry's exceptional spell of 5 for 42 in eight overs played a crucial role in restricting India to 249/9 at the Dubai International Cricket Stadium on Sunday.
A three-wicket burst by pace bowler Douglas Hondo helped secure Zimbabwe a 22-run victory over Bangladesh.
Zimbabwe are searching for a new coach just eight weeks before the World Cup after sacking Stephen Mangongo, the country's cricket board said on Thursday.
South Africa won the final game of the tri-series by seven wickets.
Both hit unbeaten half-centuries as England reached 298 for 5 against Zimbabwe on day 1 of the second Test.
Dav Whatmore has been unveiled as the new Zimbabwe coach with the Australian agreeing to an initial contract that runs until the end of the World Cup early next year.