Newcastle scouts spotted Krol playing for Poland at the Under-20 World Cup in Canada this summer.
And Krol insists that United have now made him an offer which he is considering alongside the chance to move to Italy.
"I have some offers, and the latest have come from Newcastle and Atalanta," Krol told the Sunday Sun.
"At Real, it's not easy to break through. The coach has Gabriel Heinze and the Brazilian, Marcelo - both play in my position."
He added: "The Premiership is the best league in the world. Moreover, I'd be a first-team player at Newcastle."