Vidosic's son Dario, who currently manages Brighton & Hove Albion's women's team following a 16-year playing career that began and ended in Australia, shared the sad news on Tuesday evening.
Rado was working with his son at Brighton as an assistant before being taken ill, shortly before Dario had gone on personal leave from the club last week for family reasons.
“I am heartbroken to share that my father has passed away after a battle with cancer,” Dario wrote on Instagram on Tuesday night.
“I will carry your wisdom in my steps and your strength in my heart. Forever my hero. Love you Tata.”
Brighton's managing director of female football, Zoe Johnson, sent the club's condolences to the Vidosic family shortly after.
“Rado was an integral part of our staff, team and club," she said in a statement.
"The impact he had on our team and everyone within it will forever be remembered. All our love and thoughts are with Dario and his family at this difficult time.”
Rado Vidosic migrated to Australia from Croatia in 1988 for a quiet playing career that began at NSL club Queensland Lions, before turning his attention to coaching. He was an assistant coach at Queensland Roar in the inaugural season of the A-League and served at five A-League clubs in various capacities (head coach, caretaker manager, assistant coach) before heading to Brighton with his son.
He oversaw Melbourne City's run to the 2022-23 A-League Grand Final, which they lost to Central Coast Mariners, after taking over from Patrick Kisnorbo midway through the season.
City hailed Vidosic as "a highly respected figure whose impact and influence on our Club, and Australian football at large, will endure for many years to come."
"Beyond results on the pitch, Rado will be remembered most fondly for the person he was. He was a committed, thoughtful and deeply caring coach who placed enormous value on relationships, trust and respect.
"He built strong bonds with his players and colleagues and was widely admired for his generosity, humility and genuine interest in the people around him. Rado had a rare ability to challenge those he worked with while also making them feel supported, and his presence left a lasting impression on everyone fortunate enough to work alongside him."