The Cubs traded Quiroz to the Phillies on Thursday in exchange for cash considerations.
Quiroz cleared waivers and was sent outright to Triple-A Iowa on Friday, Tim Stebbins of NBC Sports Chicago reports.
Quiroz isn't in the lineup Wednesday against Cincinnati.
Quiroz is out of the lineup for Sunday's game against the Reds.
Quiroz isn't starting Saturday against the Reds.
Quiroz is not in the lineup for Thursday's game against the Phillies.
Quiroz went 2-for-3 with two walks, two runs and an RBI in Sunday's 8-3 win over the Pirates.
Quiroz's contract was selected from Triple-A Iowa on Saturday, Tony Andracki of Marquee Sports Network reports.
Quiroz was traded from the Rays to the Cubs in exchange for Harold Ramirez on Friday.
Quiroz will be a part of the Rays' 60-man player pool this season, Marc Topkin of the Tampa Bay Times reports.