As well as the police investigation, the ECB will complete its own inquiry into Stokes' behaviour before deciding whether he can play any part in the Ashes series.
"What happened was wrong, there's no question about that," said Harrison on Tuesday.
"You don't want to see your sport in that position and there are consequences of that. We're in a holding pattern at the minute.
"There's a process with the police and then a disciplinary process. As you'll appreciate, these things take time and that's the pattern we're in at the moment."
Stokes and Alex Hales, who was also involved in the Bristol incident, have been suspended until further notice.
England coach Trevor Bayliss says he plans to be without Stokes for the entire Ashes series, while director of England cricket Andrew Strauss admitted on Monday his absence was a "blow".
2017-18 International Fixtures:
Magellan Ashes Series
First Test Gabba, November 23-27. Buy tickets
Second Test Adelaide Oval, December 2-6 (Day-Night). Buy tickets
Third Test WACA Ground, December 14-18. Buy tickets
Fourth Test MCG, December 26-30. Buy tickets
Fifth Test SCG, January 4-8 (Pink Test). Buy tickets
Gillette ODI Series v England
First ODI MCG, January 14. Buy tickets
Second ODI Gabba, January 19. Buy tickets
Third ODI SCG, January 21. Buy tickets
Fourth ODI Adelaide Oval, January 26. Buy tickets
Fifth ODI Perth TBC, January 28. Join the ACF
Prime Minister's XI
PM's XI v England Manuka Oval, February 2. Buy tickets
Gillette T20 INTL Series
First T20I Australia v NZ, SCG, February 3. Buy tickets
Second T20I – Australia v England, Blundstone Arena, February 7. Buy tickets
Third T20I – Australia v England, MCG, February 10. Buy tickets
Fourth T20I – NZ v England, Wellington, February 13
Fifth T20I – NZ v Australia, Eden Park, February 16
Sixth T20I – NZ v England, Seddon Park, February 18
Final – TBC, Eden Park, February 21