> Ulf Willuhn, a spokesman for state prosecutors, said on Tuesday that his office had been alerted to Ms. von Storch’s statement by the Cologne police and was also looking into a statement of support for her, made by a leader of the party, Alice Weidel. As news of the investigation spread, private citizens filed dozens more complaints.

> Prosecutors must now decide whether there is sufficient evidence of criminal action to open a formal investigation that could lead to charges, Mr. Willuhn said. But before that step can be taken, Germany’s Parliament would have to lift immunity.

From the article I linked above.

As that excerpt says, they are merely analyzing the statements, which they obviously must do after receiving the complaints. Nowhere does it say they are planning on doing anything beyond that analysis.