The Yankees outrighted Cornielle to the Florida Complex League on Thursday.
Manager Aaron Boone said Wednesday that Schmidt (biceps) will be shut down for the rest of the season, Gary Phillips of the New York Daily News reports.
Schlittler (1-0) earned the win in Game 1 of the AL Wild Card Series against the Red Sox on Tuesday. He struck out 10 and allowed two hits and one walk across 6.1 scoreless innings.
Rice went 4-for-5 with a double, two home runs and six RBI in Game 1 of the AL Wild Card Series against the Red Sox on Tuesday.
Houser (forearm) is expected to have a normal offseason throwing program and be ready for spring training, Justice delos Santos of The San Jose Mercury News reports.
Tidwell will undergo a right elbow UCL repair in mid-October, Justice delos Santos of The San Jose Mercury Newsreports.
Winn (elbow) continues to go through physical therapy and is slated to begin his normal offseason workouts in November, Justice delos Santos of The San Jose Mercury News reports.
Gage (elbow) has been fully cleared and will have a normal offseason, Justice delos Santos of The San Jose Mercury News reports.
Adames (elbow) has been cleared to go through his normal offseason workout routine, Justice delos Santos of The San Jose Mercury News reports.