The midfield veteran has been a peripheral figure at Manchester United so far this season.
Eriksen has been out of the team for most of the campaign, with the likes of Kobbie Mainoo and Scott McTominay preferred.
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Speaking about the Euro 2024 squad he will pick, Hjulmand told Tipsbladet: "It's not the best situation as it is right now. I really, really hope that changes. I'm pretty sure we'll see a fit Christian. I know he is.
But of course, if it continues, it can become like it is with everyone else for Christian. There can be a concern about the level one can perform at if they don't get more playing time than what it is currently.
I really hope it changes. A player as talented as Christian needs to play, and we certainly hope it changes at United. But it's not the best situation not to have played more."