The judge ordered him to stay away from the alleged hitman. So far, the intended victims have not been identified.
After the hearing, Rudd was released on bail and returned to his home.
Rudd, who was inducted into the Rock and Roll Hall of Fame in 2003, is due back in court on Nov. 27.
The band released a statement, saying, "We've only become aware of Phil's arrest as the news was breaking. We have no further comment. Phil's absence will not affect the release of our new album ‘Rock or Bust’ (set to be released on Dec. 2) and upcoming tour next year."