Pace spearhead Henry will miss the match after scans confirmed a low-grade strain in his left calf. The fast bowler experienced discomfort during the second Test at The Oval, with subsequent medical assessments revealing the injury.
Initial indications suggest Henry will require between two and four weeks to recover.
The setback is a significant one for New Zealand, with Henry having played a key role in the bowling attack throughout the series.
Henry is the top wicket-taker in the series with 12 scalps.