After reporting to New Orleans, Cordier, a Wisconsin native, appeared in four games and earned a 3.38 ERA.
"It's an exciting time for him since he's from this area," manager Dan Jennings said before Monday's game against the Brewers. "It speaks to the turnover with the pitchers and how many guys we've called up over the course of this season.
"He's a big, strong guy with a very good arm. [The] reports coming out of New Orleans are very solid."
Phelps was pulled from Sunday's 6-4 win over the Cardinals after 2 1/3 innings. The 28-year-old had been dealing with tenderness in his right arm for more than a week, and Sunday's start was his first appearance since Aug. 5. Phelps had an MRI exam on Monday, and the club is awaiting the results, Jennings said.
Other injury updates
• Right-handed pitcher Jarred Cosart threw a simulated game on Monday. Cosart has been out with vertigo resulting from an inner ear disorder. Fellow starter Jose Fernandez (right biceps strain) played catch out to 60 feet. Reliever Carter Capps (right elbow strain) is in a long toss progression to build up to a bullpen session. Capps threw one a week ago, but felt he needed more time to build strength, according to Jennings.
• Outfielder Christian Yelich (right knee contusion) had an MRI exam on Monday, and the club is also awaiting the results. He was placed on the 15-day disabled list on Saturday (retroactive to Aug. 10).
Jennings on the amount of injuries the club has suffered: "Hopefully that clock will speed up and we can get some of them back close together at the same time."
Brandon Curry is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.