Making his professional debut on Sunday, Huska stopped 25 of 30 shots in AHL Hartford's 5-3 loss to Hershey.
Huska agreed to terms with the Rangers on an entry-level contract Saturday.
Starting for the first time in more than three weeks, Huska stopped just 22 of 27 shots in the University of Connecticut's 5-2 loss to Providence on Tuesday.
Huska (wrist) is out indefnitely, John Altavilla of the Hartford Courant reports.
Huska stopped 39 of 44 shots in Slovakia's 5-0 loss to Canada at the World Junior Championship on Tuesday in Toronto.
Huska stopped 47 of 49 shots to lead the University of Connecticut to a 4-2 win over Notre Dame on Thursday.