Renner, 51, was hospitalised after being run over by a snow plough that was being used to dig out a car on his property in northern Nevada.
The actor posted a message of thanks to his supporters on Twitter.
The post was accompanied by a photo that appeared to show Renner on a bed undergoing physical therapy.
I want to thank EVERYONE for their messages and thoughtfulness. Much love and appreciation to you all. These 30 plus broken bones will mend , grow stronger, just like the love and bond with family and friends deepens pic.twitter.com/kzj2CLYdXA
— Jeremy Renner (@JeremyRenner) January 21, 2023
Renner was nominated for an Academy Award for best actor for his work in the 2008 film “The Hurt Locker”, which won the Oscar for best picture. He received a supporting actor nomination for his work in “The Town” from 2010.
He has also starred in Marvel movies as well two “Mission: Impossible” films, “Arrival”, and “American Hustle”.