という噂が

there is a rumor that

→ と
phrase Rare #26,738
there is a rumor that Used to introduce the content of a rumor, usually followed by ある, 流れる, or 飛ぶ. 噂 can also be written うわさ.
JA: 彼が海外に引っ越すという噂がある。
EN: There is a rumor that he is moving abroad.

彼は辞職するだろうという噂がある

There are rumors that he will resign.