The Wales international has been in good form for the Red Devils in recent weeks and he produced a solid display during the stalemate against the Blues on Sunday as he played the full 90 minutes at Stamford Bridge.
James has been a regular fixture in the Manchester United team in recent weeks and he has scored three goals and made one assist in his last five outings for the Red Devils.
The 23-year-old has netted five goals in all competitions for Manchester United this season and Solskjaer has been delighted by what he has seen from the attacking midfielder in recent games.
Asked to comment on James’ performance on Sunday, Solskjaer said after the game: “He [Daniel James] did really well.