Froome took a hand off his handlebars to blow his nose when a gust of wind caught his front wheel, causing him to hit a wall at speed on Wednesday, fracturing his right femur bone, hip, an elbow and several ribs during a reconnaissance ride of a stage of the Criterium du Dauphine race, reports Efe news.
"Firstly, I just want to say a huge thank you to everyone who has sent their best wishes to me since the crash," Froome said late on Saturday, according to his team's website.
"This is obviously a tough time but I have taken a lot of strength from the support over the last three days. The outpouring of support has been really humbling and something I would never have expected," he added.
The 34-year-old Briton also thanked the Team Ineos doctor, Richard Usher, the emergency services and all those who provided him assistance.
"I know how lucky I am to be here today and how much I owe to all the paramedics and medical staff on the race," Froome stressed.
"Finally, I want to thank my wife Michelle and my family. They've been with me every step of the way and their love and support will motivate me to return as quickly as possible," he concluded.
Froome has been ruled out of this year's Tour de France, which starts on July 6.
Froome was crowned the winner of the 2013, 2015, 2016 and 2017 Tours, won the 2017 Vuelta a España title and clinched his first Giro d'Italia title in 2018, the first Briton to win the Italian road race.
( With inputs from IANS )