Chinese traditional singing
Do native Chinese people view traditional singing as beautiful, such
  as the high pitched opera songs?


It's beautiful, not it's hard to be popular. The young generation is not favoring opera songs, but they might love the songs that perform opera songs in a modern/popular way.


  Do they think some American/European music like Italian opera or
  others sound strange, while Americans/Europeans think it sounds
  beautiful? If so, what would be an example?


Not strange if the ACG use opera as BGM. And the fan of opera/classical song is not large. Most of the people love listening to these songs(mostly edited to 5,6 minutes version) from radio, but they might not go to a theater to listen to hour-long opera. Although the number of the audience is increasing, but it's still too small to call a mainstream culture.

Claims: 26-year-old Native Chinese, Now living in America.