Altavilla signed a minor-league contract with the White Sox on Thursday and received an invitation to spring training.
Altavilla cleared waivers Saturday and was sent outright to Triple-A Omaha.
The Royals activated Altavilla (oblique) from the 60-day injured list Thursday and designated him for assignment.
The Royals announced that Altivilla (oblique) will begin a minor-league rehab assignment with Triple-A Omaha on Tuesday.
Altavilla (oblique) was transferred to the 60-day IL on Friday.
The Royals placed Altavilla on the 15-day injured list Thursday with a right oblique strain, Anne Rogers of MLB.com reports.
Altavilla (0-1) allowed five runs on three hits and two walks while striking out one over one-third of an inning, taking the loss Wednesday versus the Yankees.
The Royals selected Altavilla's contract from Triple-A Omaha on Monday, Anne Rogers of MLB.com reports.
Altavilla signed a minor-league contract with the Royals on Wednesday, Jon Heyman of the New York Post reports.
The Red Sox released Altavilla on Tuesday, Chris Cotillo of The Springfield Republican reports.