In an interview in Brazil, the midfielder also highlighted the “vanity" in United's squad amid a turbulent season that threatens to see them miss out on qualification for the Champions League for the second year in succession.
Solskjaer and the rest of United's squad have just returned from warm-weather training break in Spain.
Reacting to Fred's comments, the Norwegian said: “This group sticks together, don't worry about that.
“I haven't seen the interview. I don't understand what he's saying. I've seen him sat there in his kitchen (conducting the interview).
“Fred knows this group wants to give everything and stick together. I don't know how to interpret what he said, but no issues with Fred at all or with the group."