The young mum and lifestyle blogger died on Monday, leaving behind two sons aged seven and nine.
Demons champion Green, 38, confirmed the tragedy on his Instagram account the same day.
“Goodbyes are not forever, are not the end. It simply means, I’ll miss you until we meet again. Rest easy my darling #xxx3boys,” Green wrote.
The former flight attendant and fashion designer described herself on Instagram as a “mum of boys, lover of sunshine, palm trees, yoga, beaches, travel, summer, sunsets, cocktails, style”.
The news of her death has devastated Green’s former football club.
Anna and Brad Green, who are both from Tasmania, had grown up together, but only began seeing each other after a chance meeting in 2002.
They were married in 2013, despite Green saying in the middle of his footy career that he already considered himself settled down.
“We’re basically from the same home town and have known each other all our lives, or our families have,’’ he said at the time.
“Then we bumped into each other five years ago and we caught up for dinner and just went from there.”
The proud mum often posted on social media about her joy in seeing her two sons grow up before her eyes. She captioned one photo of her two children in February: “You will outgrow my lap but never my heart”.
The wife of Demons star Nathan Jones, Jerri Jones, on Tuesday also posted on Instagram:
“Terribly heartbroken. Rest easy beautiful Anna. She’ll have a place in my heart forever”.
Kate Arnott also posted a photo tribute to her warmly remembered friend.
Green, a footballing prodigy, who debuted for the Demons in 2000, was appointed captain of the club in 2010 before handing over the leadership and retiring from the game in 2012.
His wife worked in the fashion industry for years in sales, management, merchandising, fit modelling as well as consulting with in-house Australian designers and stylists.
She created label Wilo Green in 2012.
“After having some time off from the fashion industry and after having my boys I found my passion again and wanted to create something I could manage around my children as well as combine my creative side,” she said in 2016.