話したく

want to talk, want to speak

→ 話す
話し to speak; to talk + たく Desiderative (want to)
verb · informal Rare #42,878
want to talk, want to speak This is the 〜たく form of 話す, used before ない to say that someone does not want to talk.
JA: 友達と話したくて、電話しました。
EN: I wanted to talk with my friend, so I called.
Conjugation of 話す

話したくもないわ

I don't even want to talk about it.

— ファニーゲーム (1997)

その件については、もう話したくありません。

I don't want to talk about that anymore.

あなたと話したくありません。

I don't want to talk to you.

今日は、その件については話したくありません。

I don't want to talk about that today.