Knox, sentenced to 26 years in prison, and Sollecito, sentenced to 25 years, are appealing their convictions. Guede's appeal has already been rejected, and he was sentenced to 16 years.
Kercher's family was also taken aback by the trailer.
Kercher's father, John Kercher, told the London Sun that Kercher's mother Arline can't bear to watch the preview and he found it upsetting.
"Your imagination runs riot as it is about what happened," John Kercher told the newspaper. "But to actually see it like this is very distressing. The scenes are absolutely horrific.
"It's awful what these film people have done," he said.
"I'm surprised they have gone so far. I was told the original brief of the film was to take it up to the point of the killing but not actually show the killing," the father said.
John Kercher wants the trailer pulled from the Internet.
Arline Kercher is upset by everything about the film.
"I said a few months back I didn't understand why the film was called Amanda Knox when my daughter was the victim," she told the Sun.
John Kercher has lashed out before about the attention that Knox has received. When she began her appeal last year wrote in a British newspaper that he regretted that the woman convicted of killing his daughter had become a "minor celebrity."
Besides the movie, several books have been written about Knox. The Lifetime move is airs on February 21st in the United States.