When asked if James, 21, was getting a reputation, Solskjaer said: "Yes. That is what you do get.
"That is why I raise it here."
Solskjaer, speaking in the post-match news conference, said he feels both cards were unjust, stating James is an 'honest' player who is more prone to falling because he is running at speed.
"At that pace, a touch or a nudge will be enough for him to fall," said the Norwegian following referee Paul Tierney's decision during United's surprise Old Trafford loss.
"I am 100% sure there is contact between Dan and their defender. If you look at the video, there is contact and [there was in] the Wolves game. He has been unlucky. Neither yellow card should have stood."