Barrett, who sustained a cheekbone and eye socket fracture playing for Cronulla Sharks in July, received the call-up amid doubts over the fitness of Australia captain Darren Lockyer.
"I am really happy to be considered," said Barrett, who returned to Australia last October after completing two seasons in Super League with the Warriors.
"I am a little bit surprised but, if picked, would love to go on the tour. We will just have to wait and see what happens with Locky's injury."
It is four years since the former St George Illawarra captain last played for the Kangaroos but he made his return to State of Origin this year with New South Wales.
The selectors will name their squad after Sunday's Grand Final between Melbourne and Parramatta.