England will aim to get ‘Bazball’ back on track this summer against West Indies and Pakistan.
The trio were handed their punishments on March 28, 2018.
Stewart has guided Surrey to three County Championship wins during his decade in charge.
England made 177 for three and then restricted New Zealand to 130 for seven.
Both players are not at the Indian Premier League.
The England vice-captain hit a superb 196 in Hyderabad, but averaged only 14.75 in the next four Tests of the India series.
Australia will host England at the Melbourne Cricket Ground in the Women’s Ashes early next year.
Brook withdrew from England’s Test tour of India in January due to personal reasons.
Hartley’s second-innings haul of seven for 62 in Hyderabad delivered one England’s greatest ever overseas victories.
The tourists needed just 29 from 29 balls with eight wickets in hand.