In a related move, the Coyotes re-assigned forward Mikkel Boedker to San Antonio.
The 20-year-old Boedker has one goal and two assists in 12 games for Phoenix this season. The former first-round draft pick had four goals and nine assists in 34 games with the Rampage before being recalled.
The 26-year-old Perrault has 11 goals and 12 assists in 27 games for San Antonio this season. He had two goals and one assist in seven games with Phoenix last season, and seven goals and 10 assists in 49 games for the Coyotes in 2007-08.