Eriksen, who caught the attention of Europe's top clubs last summer with his performances in the European Championships in Poland and Ukraine, has just one year left on his contract at Ajax.
"It is up to Christian what he wants," De Boer said. "If he feels good going to Liverpool, then it is up to him. I would want nothing more than having him with us for a few more years.
"But we realise the interest in this kind of player is huge. And I can also understand that he wants to make another step in his career. I can't stop him."