The central defender was left fuming when his proposed loan move to Everton collapsed on deadline day.
But Solskjaer says he will still consider the 29-year-old Argentinian for selection even though he could leave before the European transfer deadline on September 2.
Asked about playing Rojo, Solskjaer said: "Yes, definitely. Why shouldn't I?
"He's just had a very good pre-season. I think he's getting closer and closer to the Argentinian set up as well, so let's see what the future brings."