Arsenal have been watching Ramaj since the New Year as they prepare to lose Aaron Ramsdale at the end of the season.
Now BILD's Christian Falk reports that Manchester United and Chelsea are also showing interest in Ramaj.
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The 22-year-old has a contract until the summer of 2028.
All three Premier League clubs see Ramaj as a potential second-choice keeper, whereas at Ajax he is their outright No1.
The goalkeeper has three U20 caps for Germany on his record.