Harawira-Naera is known to be a fan of Barrett's as he and teammate Jayden Okunbor continue discussions with Canterbury officials around their futures.
As it stands Harawira-Naera is contracted to the Bulldogs until the end of 2022 and it is understood Canberra have offered to cover the same terms of that agreement.
Raiders officials have told NRL.com they have not heard from Harawira-Naera's camp since tabling the club's deal.
"It's up to Canterbury. If they release him, we'd like to get him, but the ball's in their court. That makes up for John [Bateman] going that's all," Raiders chief executive Don Furner
told The Canberra Times on Wednesday.
Suggestions of Harawira-Naera requesting a release from Canterbury have been consistently floated