Al Nassr were scheduled to play Shanghai Shenhua on January 24th and Zhejiang four days later, with both games now postponed.
"We are willing to complete our training camp as planned in Shenzhen, a city that has warmly welcomed us and shown so much love for us and our captain," Al Nassr said in a statement.
"Furthermore, we have agreed with the organiser to schedule a new match as soon as possible."
The 38-year-old Ronaldo apologised to fans as he confirmed he was struggling with a fitness issue.
"I have played for 22 years and I am a player that doesn't have too many injuries. So I'm really sad because Al-Nassr and myself have come to China to enjoy the tour," Ronaldo said.
"We have not cancelled the game, we want to push for the game and be back here... Unfortunately, I have some problem, but this is part of football and my life."
Ronaldo, who was in Dubai last week to receive three prizes at the Globe Football Awards, was absent from Al Nassr's training at the beginning of this week, local media reported.
Following their now-cancelled China tour, Al Nassr will next face Messi and his Inter Miami side in a friendly tournament in Riyadh on February 1st.
The two teams will also play Neymar's Al Hilal, the current Saudi Pro League leaders.
