Overmars claimed the club had not received any offers for Eriksen but hoped, in time, he would play for one of the continent's big guns.
"Right now there is nothing concrete," he told the Manchester Evening News.
"No clubs have contacted me with an offer yet. For Christian it is important to choose the right club and I believe that Ajax and Christian together can take the right step for him.
"I would really like to see Christian play for a major European club to see how he will go.
"He could play for all the major clubs, it would not be a problem for him.
"It's just important to choose the right one."