The phrase "with apathy" is correct and usable in written English.
You can use it when describing someone's attitude or emotions; for example, "She listened to the lecture with apathy."
This cynicism should not be confused with apathy.
The only statement that was greeted with apathy was a blunt pledge to confront America's enemies.
The European Union's parliamentary elections concluded, after a dismal turnout and with apathy over the outcome.
"Why should I?" he asked with apathy when I remarked on this.
Why change?Where they are not greeted with apathy, Asia-minded hedge funds often face antipathy.
With apathy, he said, there is no urge to do something.
They often perceive the work as pointless, and react with apathy at best and outright aggression at worst.
The Red Wings empty seats have very little or nothing to do with apathy or the style of play.
Noam Chomsky associates excessive capitalism that followed the second world war in the US with apathy and fragmented societies.
In the Gucci flagship on Fifth Avenue, I looked with apathy at the preseason merchandise begging at the rails.
Americans and Europeans might respond to the growing number of space states with apathy, alarm, or excitement.
