Varane was named in the starting line-up for the midweek win over Brighton but pulled out before kick-off due to illness, with Victor Lindelof’s intervention.
“On the way to the hotel, after dinner and the team meeting, he had stomach problems,” Rangnick explained after the match.
“We were hoping to get rid of him with medication but he wasn’t feeling well and that’s why we played with Victor Lindelof instead.”
Cavani, meanwhile, didn’t feature against Brighton or in last weekend’s 1-1 draw with Southampton due to a groin problem, but the 35-year-old was back in action. training with the rest of Rangnick’s team in Carrington on Thursday.
Tuesday night’s 2-0 win over Brighton halted a worrying dip in form that had seen United held at home by Southampton and Burnley.
The win saw them climb into the top four, but they may have been usurped when they face Leeds on Sunday afternoon, with fifth-placed West Ham in action against Newcastle in Saturday’s midday kick-off .