The defending champions overcame a red card to the All Blacks first-five to beat the Waratahs 38-28 in their Super Rugby clash in Wellington.
The World Rugby player of the year scored a try, but was also judged to have deliberately knocked the ball down twice in the match.
He was sent off in the 60th minute after receiving his second yellow card for the same offence.
The Hurricanes coach Chris Boyd hopes the red card is all that Barrett will cop.