Calitz is Canadian-born and has represented his native country at under-19 level, but moved to Ireland in 2022.
After initially playing club cricket, he played for Munster Reds in the Inter-Provincial series, then represented Northern Knights in 2025.
In April this year he was selected for the Ireland Wolves’ tour to the United Arab Emirates.
England have named a squad which largely does not include any of their multi-format players, many of whom are being rested before this winter’s Ashes series.
The team will be led by Jacob Bethell, who at 21 is set to become the youngest man to captain England in an international, with Jordan Cox being rewarded for his outstanding form in The Hundred with a call-up.
The T20 matches will be played on Wednesday 17 September, Friday 19 September and Sunday 21 September, with each starting at 13:30 BST.